**PROJECTION OF SOLIDS**

**BASICS OF SOLIDS**

- 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**A solid has 3 dimensions

Explanation:

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.Match the following**

1.Polyhedron Number of faces - 2.Triangular Prism i. 6
- 3.Tetrahedron ii. 5
- 4.Octahedron iii. 4
- 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**A polyhedron is defined as a

Explanation:

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. - 3.Match the following

1.Prisms Number of edges - 2.Triangular i. 18
- 3.Square ii. 15
- 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.

- 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.Match the following

Prisms Number of vertices - Triangular i. 12
- Square ii. 10
- Pentagon iii. 6
- 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.

**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.- 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.Match the following

Polyhedron Number of faces - 1.Triangular Prism i. 8
- 2.Tetrahedron ii. 9
- 3.Octahedron iii. 6
- 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.Match the following

Prisms Number of vertices - 1.Triangular i. 7
- 2.Square ii. 6
- 3.Pentagon iii. 5
- 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.Match the following

Prisms Number of vertices - 1.Triangular i. 12
- 2.Square ii. 8
- 3.Pentagon iii. 6
- 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.

- 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. - 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. - 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 OFSOLIDS IN SIMPLE POSITION**

- 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. - 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. - 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.

- 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. - 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. - 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.

- 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 INCLINEDTO VERTICAL PLANE AND PARALLEL TO HORIZONTALPLANE**

- 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.

- a)True
- 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.

- 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. - 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.

- 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. - 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.

- 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. - 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. - 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. - 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. - 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.

- 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 OFSOLIDS WITH AXIS INCLINEDTO HORIZONTAL PLANE ANDPARALLEL TO VERTICALPLANE**

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.

- 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. - 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. - 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.

- 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. - 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. - 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. - 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. - 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.

- 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. - 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. - 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. - 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 OFSOLIDS WITH AXES INCLINEDTO BOTH HORIZONTAL ANDVERTICAL PLANE**

- 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

- C)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.

- 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**

- 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.

- 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. - 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. - 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 fromfront view and ellipse from top view.}

- 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. - 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. - 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.