Free Printable Surface Area & Volumes

1.

In a right circular cone, the cross section made by a plane parallel to the base is a...........

a)

Sphere

b)

Hemisphere

c)

Circle

d)

Semicircle

2.

A solid piece of iron in the form of a cuboid of dimensions (49 cm × 33 cm × 24 cm) is moulded to form a solid sphere. The radius of the sphere is...........

a)

19 cm

b)

21 cm

c)

23 cm

d)

25 cm

3.

The radius (in cm) of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is

a)

2.1

b)

4.2

c)

8.4

d)

1.05

4.

A metallic solid sphere of radius 9 cm is melted to form a solid cylinder of radius 9 cm. The height of the cylinder is

a)

96 cm

b)

36 cm

c)

18 cm

d)

12 cm

5.

A rectangular sheet of paper 40 cm × 22 cm, is rolled to form a hollow cylinder of height 40 cm. The radius of the cylinder (in cm) is

a)

7

b)

3.5

c)

$\frac{80}{7}$

d)

5

6.

The number of solid spheres, each of diameter 6 cm, that can be made by melting a solid metal cylinder of height 45 cm and diameter 4 cm, is

a)

2

b)

4

c)

5

d)

6

7.

The surface areas of two spheres are in the ratio 16 : 9. The ratio of their volumes is

a)

64:27

b)

16:9

c)

4:3

d)

$16^3:9^3$

8.

If the surface area of a sphere is 616 cm2 , its diameter (in cm) is

a)

7

b)

14

c)

28

d)

56

9.

A hollow metallic sphere with external diameter 8 cm and internal diameter 4 cm is melted and moulded into a cone having base radius 4 cm. The height of the cone is

a)

12 cm

b)

14 cm

c)

15 cm

d)

18 cm

10.

A metallic cone having base radius 2.1 cm and height 8.4 cm is melted and moulded into a sphere. The radius of the sphere is

a)

2.1 cm

b)

1.05 cm

c)

1.5 cm

d)

2 cm

11.

Total Surface area of hemisphere is

a)

$\pi r^2$

b)

$2\pi r^2$

c)

$3\pi r^2$

d)

$4\pi r^2$

12.

Curved surface area of cylinder is

a)

$\pi rh$

b)

$3\pi rh$

c)

$2\pi rh$

d)

None of these

13.

Slant height of cone is

a)

$h^2+r^2$

b)

$h^2-r^2$

c)

$\sqrt{h^2+r^2}$

d)

$\sqrt{h^2-r^2}$

14.

Lateral surface area of cube is 6l

a)

True

b)

False

15.

A circus tent is cylindrical to a height of 4 m and conical above it. If its diameter is 105 m and its slant height is 40 m, the total area of canvas required is

a)

$1760\ m^2$

b)

$2640\ m^2$

c)

$3960\ m^2$

d)

$7920\ m^2$

Surface Area & Volumes

Total questions: 15

Worksheet time: 12mins

Similar Resources on Wayground