Engineering Graphics MCQ’S Unit-3

PROJECTION OF SOLIDS

BASICS OF SOLIDS

1. 1.1.The minimum number of orthographic
   view required to represent a solid on flat
   surface is
   a) 1
   b) 2
   c) 3
   d) 4
   Answer: b
   Explanation: A solid has 3 dimensions
   length, breadth and thickness. A single view
   represents any of the two dimensions of a
   solid and other represents, other set of two
   dimensions, so that we can understand whole
   geometry.
2. 2.2.Match the following
   1.Polyhedron Number of faces
3. 2.Triangular Prism i. 6
4. 3.Tetrahedron ii. 5
5. 4.Octahedron iii. 4
6. 5.Cube iv. 8
   a) 1, i; 2, ii; 3, iii; 4, iv
   b) 1, ii; 2, iii; 3, iv; 4, i
   c) 1, ii; 2, iv; 3, i; 4, iii
   d) 1, iv; 2, iii; 3, ii; 4, i
   Answer: b
   Explanation: A polyhedron is defined as a
   solid bounded by planes called faces. Prism is
   a polyhedron having two equal and similar
   faces (bases or ends), parallel to each other
   and joined by other faces which are
   rectangles.
7. 3.Match the following
   1.Prisms Number of edges
8. 2.Triangular i. 18
9. 3.Square ii. 15
10. 4.Pentagon iii. 9

Hexagonal iv. 12

a) 1, i; 2, ii; 3, iii; 4, iv
b) 1, iii; 2, ii; 3, iv; 4, i
c) 1, iii; 2, iv; 3, ii; 4, i
d) 1, iv; 2, iii; 3, ii; 4, i
Answer: c
Explanation: Prism is a polyhedron having
two equal and similar faces (bases or ends),
parallel to each other and joined by other
faces which are rectangles. So there exist 3 x
number of sides of base of edges in prism.

4. The number of corners that exist in
   pyramids is 1+ number of sides of base.
   a) True
   b) False
   Answer: a
   Explanation: A pyramid is a polyhedron
   having a plane figure as a base and a number
   of triangular faces meeting at a point called
   vertex or apex. The imaginary line joining the
   apex with the center of the base is its axis.

5. 5.Match the following
   Prisms Number of vertices
6. Triangular i. 12
7. Square ii. 10
8. Pentagon iii. 6
9. Hexagonal iv. 8
   a) 1, i; 2, ii; 3, iii; 4, iv
   b) 1, iii; 2, ii; 3, iv; 4, i
   c) 1, iii; 2, iv; 3, ii; 4, i
   d) 1, iv; 2, iii; 3, ii; 4, i
   Answer: c
   Explanation: Prism is a polyhedron which
   has two equal faces (bases or ends), parallel
   to each other and joined by other faces which
   are rectangles. So there exist 2 x number of
   sides of base of vertices in prism.

6. Solid of revolution gets same shapes in at
   least two in three orthographic views.
   a) True
   b) False
   Answer: a
   Explanation: Solids of revolutions are
   formed by revolving particular shaped plane
   surface about particular axis or about one of
   sides of plane surface so generally because of
   this any two orthographic views look similar.
7. If a right angled triangle is made to
   revolute about one of its perpendicular sides
   the solid formed is
   a) cube
   b) triangular prism
   c) cone
   d) cylinder
   Answer: c
   Explanation: A right circular cone is a solid
   generated by the revolution of a right angled
   triangle about one of its perpendicular sides
   which is fixed. It has one circular base and
   one vertex. Its axis joins the vertex to center
   of circle (base) to which it is perpendicular.

8. 8.Match the following
   Polyhedron Number of faces
9. 1.Triangular Prism i. 8
10. 2.Tetrahedron ii. 9
11. 3.Octahedron iii. 6
12. 4.Cube iv. 12
    a) 1, i; 2, ii; 3, iii; 4, iv
    b) 1, ii; 2, iii; 3, iv; 4, i
    c) 1, ii; 2, iv; 3, i; 4, iii
    d) 1, iv; 2, iii; 3, ii; 4, i
    Answer: b
    Explanation: A polyhedron is defined as a
    solid bounded by planes called faces. Prism is
    a polyhedron having two equal and similar
    faces (bases or ends), parallel to each other
    and joined by other faces which are
    rectangles.

9. 9.Match the following
   Prisms Number of vertices
10. 1.Triangular i. 7
11. 2.Square ii. 6
12. 3.Pentagon iii. 5
13. 4.Hexagonal iv. 4
    a) 1, i; 2, ii; 3, iii; 4, iv
    b) 1, iii; 2, ii; 3, iv; 4, i
    c) 1, iii; 2, iv; 3, ii; 4, i
    d) 1, iv; 2, iii; 3, ii; 4, i
    Answer: d
    Explanation: A pyramid is a polyhedron
    having a plane figure as a base and a number
    of triangular faces meeting at a point called
    vertex or apex. So there exists 1+ number of
    sides of base of vertices in pyramid. In
    pyramid the number of vertices is equal to
    number of faces.

10. 10.Match the following
    Prisms Number of vertices
11. 1.Triangular i. 12
12. 2.Square ii. 8
13. 3.Pentagon iii. 6
14. 4.Hexagonal iv. 10
    a) 1, i; 2, ii; 3, iii; 4, iv
    b) 1, iii; 2, ii; 3, iv; 4, i
    c) 1, iii; 2, iv; 3, ii; 4, i
    d) 1, iv; 2, iii; 3, ii; 4, i
    Answer: b
    Explanation: A pyramid is a polyhedron
    having a plane figure as a base and a number
    of triangular faces meeting at a point called
    vertex or apex. The imaginary lie joining the
    apex with the center of the base is its axis. So
    there exists 2 x number of sides of base of
    edges in a pyramid.

11. When a pyramid or a cone is cut by a
    plane parallel to its base, thus removing the
    top portion, the remaining portion is called
    a) cylinder
    b) frustum
    c) prism
    d) polyhedron
    Answer: b
    Explanation: When a pyramid or a cone is
    cut by a plane parallel to its base, thus
    removing the top portion, the remaining
    portion is called its frustum. When a solid is
    cut by a plane inclined to the base it is said to
    be truncated.
12. Straight lines drawn from the apex to the
    circumference of the base-circle are all equal
    and are called
    a) edges
    b) connecting lines
    c) projectors
    d) generators
    Answer: d
    Explanation: In a cone, the straight lines
    drawn from the apex to the circumference of
    the base-circle are all equal and are called
    generators of the cone. The length of the
    generator is the slant height of the cone.
13. The solid formed by 12 equal and regular
    pentagons as faces is called
    a) plantonic solid
    b) dodacahedron
    c) Icosahedron
    d) pyritohedron
    Answer: b
    Explanation: Plantonic solid is a regular
    convex polyhedron. Dodecahedron is one of
    the plantonic solid. Icosahedron is a solid
    which has twenty equal sized equilateral
    triangles as faces. Pyritohedron is the
    irregular dodecahedron.

PROJECTION OF
SOLIDS IN SIMPLE POSITION

1. If a solid is positioned that its axis is
   perpendicular to one of the reference plane.
   Which of the following is false?
   a) Axis is parallel to other reference plane
   b) Base is parallel to reference plane
   c) Projection on that plane gives true shape of
   its base
   d) Base is perpendicular to horizontal plane
   Answer: d
   Explanation: If solid’s axis is perpendicular
   to H.P the base is parallel to H.P and
   projection on to the H.P gives the true shape
   of base and similar to V.P and P.P. But here in
   question it is not specified that given solid’s
   axis is perpendicular to V.P.
2. If a solid’s axis is perpendicular to one of
   the reference planes then the projection of
   solid on to the same plane gives the true
   shape and size of its
   a) lateral geometry
   b) base
   c) cross-section
   d) surface
   Answer: b
   Explanation: As in the planes, if the plane is
   parallel to one of the reference plane then
   projection of plane on to the same plane gives
   the true shape and size of the plane likewise
   the solid’s base is parallel to reference plane
   the projection gives the true shape of the
   base.
3. When the axis of solid is perpendicular to
   H.P, the view should be drawn first
   and view then projected from it.
   a) front , top
   b) top, side
   c) side, front
   d) top, front
   Answer: d
   Explanation: When the axis of solid is perpendicular to H.P it is indirectly saying
   that the base is parallel to the horizontal plane so the projection on to it gives true shape of the base and then we can project and find the other dimensions.

4. When the axis of solid is perpendicular to
   V.P, the view should be drawn first
   and view then projected from it.
   a) front , top
   b) top, side
   c) side, front
   d) top, front
   Answer: a
   Explanation: When the axis of solid is
   perpendicular to V.P it is indirectly saying
   that the base is parallel to the vertical plane so
   the projection on to it gives true shape of base
   and then we can project and find the other
   dimensions.
5. When the axis of solid is parallel to H.P
   &V.P, then view should be drawn first
   and and view then projected
   from it.
   a) front , top, side
   b) top, side, front
   c) side, front, top
   d) top, front, side
   Answer: c
   Explanation: When the axis of solid is
   parallel to H.P, V.P then it is indirectly saying
   that it is perpendicular to picture plane so
   base is parallel to the profile plane so the
   projection on to it gives true shape of base
   and then we can projections of front and top
   can be drawn.
6. The front view, side view and top view of a
   regular square pyramid standing on horizontal
   plane base on horizontal plane.
   a) triangle, triangle and square
   b) square, triangle and triangle
   c) square, triangle and square
   d) triangle, square and triangle
   Answer: a
   Explanation: Given a square pyramid made to stand on horizontal plane on its base, in which position the pyramid may place like this the front view and side gives triangle in particular isosceles triangle as pyramid given is regular one and top view gives square.

7. The front view, side view and top view of a
   cylinder standing on horizontal plane base on
   horizontal plane.
   a) circle, rectangle and rectangle
   b) rectangle, rectangle and circle
   c) rectangle, circle and rectangle
   d) circle, triangle and triangle
   Answer: b
   Explanation: Given a cylinder made to stand
   on horizontal plane on its base, in which
   position the pyramid may place like this the
   front view and side gives rectangle and top
   view gives circle as the projection of top view
   is projection of base.

PROJECTIONS OF SOLIDS WITH AXIS INCLINED
TO VERTICAL PLANE AND PARALLEL TO HORIZONTAL
PLANE

1. When a solid is placed such that axis is inclined with the V.P and parallel to the H.P. Its projections are drawn in stages.

a) 1 b) 4 c) 2 d) 3

Answer: c

Explanation: In the initial stage, the axis is kept perpendicular to the V.P and parallel to H.P and projections are drawn and then turning the axis to given angle of rotation with V.P and then again projections are based on previous vertices and edges.

2. A hexagonal pyramid first placed in such a way its axis is perpendicular to H.P and one edge AB parallel to V.P and then next this is turned about its axis so the base AB is now making some angle with V.P. The top view for previous and later one will be having the same shape.

1. a)True
2. b) False

Answer: a

Explanation: For given positions of solid the solid is just rotated around itself and given the axis is perpendicular to H.P so the top view gives the true shape and size of its base but the base is just rotated to its given angle shape will not change.

3. A regular cone first placed in such a way
   its axis is perpendicular to V.P and next this is
   tilted such that its base is making some acute
   angle with V.P. The top view for previous and
   later one will be.
   a) Triangle, triangle
   b) irregular shape of circle and triangle,
   triangle
   c) triangle, irregular shape of circle and
   triangle
   d) circle, triangle
   Answer: a
   Explanation: For given positions of solid the
   solid is just tilted to some angle with V.P and
   previously given the axis is perpendicular to
   V.P so the top view gives the triangle and
   next with some given angle shape will not
   change.
4. A regular cone first placed in such a way
   its axis is perpendicular to V.P and next this is
   tilted such that its base is making some acute
   angle with V.P. The front view for previous
   and later one will be having same shape.
   a) True
   b) False
   Answer: b
   Explanation: For given positions of solid the
   solid is just tilted to some angle with V.P and
   previously given the axis is perpendicular to
   V.P so the front view gives the circle and next
   with some given angle shape will change to
   some irregular shape of circle and triangle.

6. 5.A cylinder first placed in such a way its
   axis is perpendicular to V.P and next this is
   tilted such that its axis is making some acute
   angle with V.P. The front view for previous
   and later one will be
   a) circle, rectangle with circular ends
   b) rectangle, rectangle
   c) rectangle with circular ends, rectangle
   d) circle, rectangle
   Answer: a
   Explanation: For given positions of solid the
   solid is made acute angle with V.P and
   previously given the axis is perpendicular to
   V.P so the front view gives the circle and next
   with some given angle shape will change to
   rectangle with circular ends.
7. 6.A cylinder first placed in such a way its
   axis is perpendicular to V.P and next this is
   tilted such that its axis is making some acute
   angle with V.P. The top view for previous and
   later one will be
   a) circle, rectangle with circular ends
   b) rectangle, rectangle
   c) rectangle with circular ends, rectangle
   d) circle, rectangle

Answer: b
Explanation: For given positions of solid the
solid is made acute angle with V.P and
previously given the axis is perpendicular to
V.P so the top view gives the rectangle and
next with some given angle shape will not
change but just tilt to given angle.

8. 7.A triangular pyramid is placed such that its
   axis is perpendicular to V.P and one of its
   base’s edges is parallel to H.P the front view
   and top view will be
   a) Triangle of base, triangle due to slanting
   side
   b) Triangle due to slanting side, triangle of
   base
   c) Triangle of base, rhombus
   d) Rhombus, triangle of base
   Answer: a
   Explanation: Given a triangular pyramid
   which means the projection to its base gives
   triangle shape and other orthographic views
   give triangle. Here given is pyramid whose
   axis is perpendicular to V.P so its front view
   will be triangle of its base and top view will
   be another different triangle.
9. 8.A square pyramid is placed such that its
   axis is inclined to V.P and one of its base’s
   edges is parallel to H.P the front view and top
   view will be
   a) Square, Isosceles triangle
   b) Irregular pentagon, square
   c) Irregular pentagon, isosceles triangle
   d) Pentagon, equilateral triangle
   Answer: c
   Explanation: Given a square pyramid which
   means the projection to its base gives square
   shape and other orthographic views give
   triangle. Here given is pyramid whose axis is
   inclined to V.P so its front view will be
   irregular pentagon and top view will be
   isosceles triangle.
10. 9.A square prism is placed such that its axis
    is inclined to V.P and one of its base’s edges
    is parallel to H.P the front view and top view
    will be
    a) Square, irregular polygon
    b) Irregular polygon, rectangle
    c) Rectangle, irregular polygon
    d) Pentagon, square
    Answer: b
    Explanation: Given a square prism which
    means the projection to its base gives square
    shape and other orthographic views give
    rectangle. Here given is prism whose axis is
    inclined to V.P so its top view will be
    rectangle and front view will be irregular
    polygon.
11. 10.A regular cone having its axis parallel to
    H.P and perpendicular to V.P at first but then
    the cone’s axis keeping parallel to H.P and
    rotated such that its new axis is perpendicular
    to the previous axis. The front view of the
    previous and later one is
    a) Circle, triangle
    b) Circle, triangle with circular base
    c) Triangle, triangle
    d) Circle, circle
    Answer: a
    Explanation: Given a regular cone which
    means the projection to its base gives circle
    shape and other orthographic views give
    triangle. But here given is inclination it may
    give irregular shape in its front view if the
    angle is acute angle but here given is 90
    degrees so we get triangle.
12. 11.A regular cone having its axis parallel to
    H.P and perpendicular to V.P at first but then
    the cone’s axis keeping parallel to H.P and
    rotated such that its new axis is perpendicular
    to previous axis. The top view of the previous
    and later one is
    a) Circle, triangle
    b) Circle, triangle with circular base
    c) Triangle, triangle
    d) Circle, circle

Answer: c
Explanation: Given a regular cone which
means the projection to its base gives circle
shape and other orthographic views give
triangle. But here given is inclination it may
change shape in its front view but in top view
it just totally rotated as per given angle.

13. 12.A tetrahedron is made to place on V.P that
    is with its axis perpendicular to it and one of
    the edges of base parallel to H.P and then the
    tetrahedron is made to rotate w.r.t to V.P up to
    an acute angle. The top view of previous and
    later one is
    a) isosceles triangle, isosceles triangle
    b) equilateral triangle, isosceles triangle
    c) equilateral triangle, square
    d) square, irregular polygon of 4 sides
    Answer: a
    Explanation: As normal a tetrahedron gives
    equilateral triangle for a project to its base
    and isosceles triangle for other view when
    placed without inclination but here inclination
    is given but given view is top view so the
    shape will not change but rotate to given
    angle.

PROJECTION OF
SOLIDS WITH AXIS INCLINED
TO HORIZONTAL PLANE AND
PARALLEL TO VERTICAL
PLANE

When a solid is placed such that axis is
inclined with the H.P and parallel to the V.P.
Its projections are drawn in
stages.
a) 1
b) 4
c) 2
d) 3
Answer: c
Explanation: In the initial stage, the axis is
kept perpendicular to the H.P and parallel to
V.P and projections are drawn and then
turning the axis to given angle of rotation
with H.P and then again projections are based
on previous vertices and edges.

2. A hexagonal pyramid first placed in such a
   way its axis is perpendicular to V.P and one
   edge AB parallel to H.P and then next this is
   turned about its axis so the base AB is now
   making some angle with H.P. The top view
   for previous and later one will be having
   different shapes.
   a) True
   b) False
   Answer: b
   Explanation: For given positions of solid the
   solid is just rotated around itself and given the
   axis is perpendicular to V.P so the top view
   gives the true shape and size of its base but
   the base is just rotated to its given angle
   shape will not change.
3. A regular cone first placed in such a way
   its axis is perpendicular to H.P and next to
   this is tilted such that its base is making some
   acute angle with H.P. The top view for
   previous and later one will be
   a) triangle, triangle
   b) irregular shape of circle and triangle,
   triangle
   c) circle, irregular shape of circle and triangle
   d) circle, triangle
   Answer: c
   Explanation: For given positions of solid the
   solid is just tilted to some angle with H.P and
   previously given the axis is perpendicular to
   H.P so the top view gives the triangle and
   next with some given angle shape will change
   to irregular shape of circle and triangle.
4. A regular cone first placed in such a way
   its axis is perpendicular to H.P and next this
   is tilted such that its base is making some
   acute angle with H.P. The front view for
   previous and later one will be having same
   shape.

a) True
b) False
Answer: a
Explanation: For given positions of solid the
solid is just tilted to some angle with H.P and
previously given the axis is perpendicular to
H.P so the front view gives the triangle and
next with some given angle shape will not
change but just rotate.

5. A regular pentagon prism first placed in
   such a way its axis is perpendicular to H.P
   and one edge is parallel to V.P and next this is
   tilted such that its axis is making some acute
   angle with H.P. The front view for previous
   and later one will be
   a) pentagon, rectangle
   b) rectangle, pentagon
   c) rectangle, rectangle
   d) irregular hexagon, pentagon
   Answer: c
   Explanation: For given positions of solid the
   solid is made acute angle with H.P and
   previously given the axis is perpendicular to
   H.P so the front view gives the rectangle and
   next with some given angle shape will rotate
   totally.
6. A cylinder first placed in such a way its
   axis is perpendicular to H.P and next this is
   tilted such that its axis is making some acute
   angle with H.P. The top view for previous and
   later one will be
   a) circle, rectangle with circular ends
   b) rectangle, rectangle
   c) rectangle with circular ends, rectangle
   d) circle, rectangle
   Answer: a
   Explanation: For given positions of solid the
   solid is made acute angle with H.P and
   previously given the axis is perpendicular to
   H.P so the front view gives the circle and next
   with some given angle shape will change to
   rectangle with circular ends.
7. A cylinder first placed in such a way its
   axis is perpendicular to H.P and next this is
   tilted such that its axis is making some acute
   angle with H.P. The front view for previous
   and later one will be
   a) circle, rectangle with circular ends
   b) rectangle, rectangle
   c) rectangle with circular ends, rectangle
   d) circle, rectangle
   Answer: b
   Explanation: For given positions of solid the
   solid is made acute angle with V.P and
   previously given the axis is perpendicular to
   V.P so the top view gives the rectangle and
   next with some given angle shape will not
   change but just tilt to given angle.
8. A triangular pyramid is placed such that its
   axis is perpendicular to H.P and one of its
   base’s edges is parallel to H.P the front view
   and top view will be
   a) Triangle of base, triangle due to slanting
   side
   b) Triangle due to slanting side, triangle of
   base
   c) Triangle of base, rhombus
   d) Rhombus, triangle of base
   Answer: b
   Explanation: Given a triangular pyramid
   which means the projection to its base gives
   triangle of base and other orthographic views
   give triangle due to slanting sides. Here given
   is pyramid whose axis is perpendicular to H.P
   so its front view will be triangle due to sides
   and top view will be triangle of base.
9. A square pyramid is placed such that its
   axis is inclined to H.P and one of its base’s
   edges is parallel to V.P the front view and top
   view will be
   a) Square, Isosceles triangle
   b) Irregular pentagon, square
   c) Isosceles triangle, irregular pentagon
   d) Pentagon, equilateral triangle

Answer: c
Explanation: Given a square pyramid which
means the projection to its base gives square
shape and other orthographic views give
triangle. Here given is pyramid whose axis is
inclined to H.P so its front view will be
isosceles triangle and top view will be square.

10. A square prism is placed such that its axis
    is inclined to H.P and one of its base’s edges
    is parallel to V.P the front view and top view
    will be
    a) square, irregular polygon
    b) irregular polygon, square
    c) square, rectangle
    d) rectangle, irregular polygon
    Answer: d
    Explanation: Given a square prism which
    means the projection to its base gives square
    shape and other orthographic views give
    rectangle. Here given is prism whose axis is
    inclined to H.P so its front view will be
    rectangle and top view will be irregular
    polygon.
11. A regular cone having its axis parallel to
    V.P and perpendicular to H.P at first but then
    the cone’s axis keeping parallel to V.P and
    rotated such that its new axis is perpendicular
    to previous axis. The front view of the
    previous and later one is
    a) circle, triangle
    b) circle, triangle with circular base
    c) triangle, triangle
    d) circle, circle
    Answer: c
    Explanation: Given a regular cone which
    means the projection to its base gives circle
    shape and other orthographic views give
    triangle. But here given is inclination it may
    give irregular shape in its top view if the
    angle give is acute but given angle is 90
    degrees so it gives perfect shapes.
12. A regular cone having its axis parallel to
    V.P and perpendicular to H.P at first but then
    the cone’s axis keeping parallel to V.P and
    rotated such that its new axis is perpendicular
    to previous axis. The top view of the previous
    and later one is
    a) circle, triangle
    b) circle, triangle with circular base
    c) triangle, triangle
    d) circle, circle
    Answer: a
    Explanation: Given a regular cone which
    means the projection to its base gives circle
    shape and other orthographic views give
    triangle. But here given is inclination of 90
    degrees so previous ones will be circle and
    later one will be triangle.
13. A tetrahedron is made to place on H.P
    that is with its axis perpendicular to it and one
    of the edges of base parallel to V.P and then
    the tetrahedron is made to rotate w.r.t to H.P
    up to an acute angle. The top view of
    previous and later one is
    a) isosceles triangle, Isosceles triangle
    b) equilateral triangle, isosceles triangle
    c) equilateral triangle, square
    d) square, irregular polygon of 4 sides
    Answer: b
    Explanation: As normal a tetrahedron gives
    equilateral triangle for a project to its base
    and isosceles triangle for other view when
    placed without inclination but here inclination
    is given but given view is top view so the
    shape will change to isosceles triangle

PROJECTION OF
SOLIDS WITH AXES INCLINED
TO BOTH HORIZONTAL AND
VERTICAL PLANE

1. When a solid is placed such that axis is
   inclined with both the H.P and V.P. Its
   projections are drawn in stages.
   a) 1
   b) 4

1. C)2
2.  d) 3

Answer: d

Explanation: The stages are i) keeping in simple position, ii) Axis inclined to one plane and parallel to the other, iii) Final position. The 2nd and 3rd positions may be obtained either by the alteration of the positions of the solid i.e. view or reference lines.

2. The front views of 1st, 2nd and final stages
   of square prism, has its axis inclined at 45
   degrees with H.P and has an edge of its base
   on H.P and inclined 30 degrees with V.P
   while drawing orthographic projections are
   a) Rectangle, rectangle, hexagon
   b) Square, rectangle, rectangle
   c) Rectangle, rectangle, octagon
   d) Square, rectangle, hexagon
   Answer: a
   Explanation: As the 1st stage is to keep the solid in simple position and given is front view it is rectangle and then rotated to an angle of 45 degrees with H.P which again gives rectangle and then rotating 30 degrees with V.P which gives an irregular hexagon.

PROJECTION OF SPHERES

1. surface is formed when a
   sphere is cut by a plane.
   a) Ellipse
   b) Parabola
   c) Circle
   d) Hyperbola
   Answer: c
   Explanation: Sphere is a closed solid object
   which is formed by rotating semicircle about
   its flat side. Sphere gives top view, front
   view, side views as a circle whose radius is
   equal to the radius of a sphere.

2. When a hemisphere is placed on the
   ground on its flat face, its front view is a
   a) semi circle
   b) circle
   c) ellipse
   d) irregular one
   Answer: a
   Explanation: Hemisphere is solid formed by
   cutting the sphere at its middle. The flat
   surface of hemisphere will have section of
   circle with radius equal to radius of sphere.
   Here the hemisphere is placed on H.P on its
   flat surface so it gives semi circle from front
   view.
3. When a hemisphere is placed on the
   ground on its flat face, its top view is a
   a) semi circle
   b) circle
   c) ellipse
   d) irregular one
   Answer: b
   Explanation: Hemisphere is solid formed by
   cutting the sphere at its middle. The flat
   surface of hemisphere will have section of
   circle with radius equal to radius of sphere.
   Here the hemisphere is placed on H.P on its
   flat surface so it gives circle from top view.
4. When the flat face of hemisphere is
   inclined to the H.P or the ground and is
   perpendicular to the V.P, it is seen as
   (partly hidden) in the top view.
   a) semi circle
   b) circle
   c) ellipse
   d) irregular one
   Answer: c
   Explanation: The flat surface of hemisphere will have section of circle with radius equal to radius of sphere. Here the hemisphere is placed on H.P so that its flat surface is inclined to H.P so it gives semi circle from front view and ellipse from top view.

i^{nclined to H.P so it gives semi circle from
front view and ellipse from top view.}

5. When a hemisphere is placed on H.P such
   that the flat surface is perpendicular to V.P
   and inclined with horizontal then the front
   view will be
   a) semi circle
   b) circle
   c) ellipse
   d) irregular one
   Answer: a
   Explanation: The flat surface of hemisphere
   will have section of circle with radius equal to
   radius of sphere. Here the hemisphere is
   placed on H.P so that its flat surface is
   inclined to H.P so it gives semi circle from
   front view and ellipse from top view.
6. When two spheres of same radius are
   placed on H.P both are touching each other
   and the line joining the centers is
   perpendicular to V.P. The front view will be. #EG, #EngineeringGraphics, #ICA, #innovativecodesAcademy, #Unit-4
   a) Single circle
   b) Two circles
   c) Concentric circles
   d) Intersecting circles
   Answer: a
   Explanation: Given two spheres of same
   radius are placed on H.P touching each other
   so as the spheres are placed on H.P the line
   joining the centers is parallel to H.P and
   given it is perpendicular to V.P so they both
   align in one line which gives single circle
   from front view.
7. When two spheres of same radius are
   placed on H.P both are touching each other
   and the line joining the centers is
   perpendicular to V.P. The top view will be
   a) single circle
   b) two circles
   c) concentric circles
   d) intersecting circles

Answer: c

Explanation: Given two spheres of same radius are placed on H.P touching each other so as the spheres are placed on H.P the line joining the centers is parallel to H.P and given it is perpendicular to V.P so they both align in one line which gives two circles from top view.