Free Printable Mensuration

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)

$7920\ m^2$

16.

Which formula calculates the surface area of a sphere?

a)

$\frac{4}{3}\pi r^3$

b)

$4\pi r^2$

c)

$\frac{1}{3}\pi r^3$

d)

$\pi r^2$

17.

Which formula calculates the volume of a sphere?

a)

$\frac{4}{3}\pi r^3$

b)

$4\pi r^2$

c)

$\frac{1}{3}\pi r^3$

d)

$\pi r^2$

18.

Lucas found a punctured bouncy ball in his basement. He wants to know how much air is used to fill up the entire ball. The diameter of the ball is 6 in. Find the volume. Use 3.14 for π.

a)

113.04 in³

b)

345.73 in³

c)

904.36 in³

d)

589.03 in³

19.

Barney wanted to know how much ice cream he got in one scoop. The radius of a scoop is 2 inches. Find the volume. Use 3.14 for π.

a)

345.32 in³

b)

25.17 in³

c)

33.49 in³

d)

50.22 in³

20.

Find the volume in terms of π.

a)

33.33π cm³

b)

500π cm³

c)

166.67π cm³

d)

1333.33π cm³

21.

What is the volume of a sphere with the radius of 4 inches in terms of π?

a)

187.23π in³

b)

85.33π in³

c)

21.33π in³

d)

256π in³

22.

Find the surface area of a hemisphere with a radius of 25cm in terms of π.

a)

625π cm²

b)

1250π cm²

c)

18750π cm²

d)

2500π cm²

23.

Find the surface area in terms of π.

a)

2120π mm²

b)

144π mm²

c)

287π mm²

d)

108π mm²

24.

What is the volume of the hemisphere? Use 3.14 for pi. Round to the nearest hundredth

(a)

25.

The surface area of a sphere is 804.25 m², find the radius of the sphere to the nearest whole number

(a)

26.

The volume of a sphere is 33.51 in³, find the radius of the sphere to the nearest whole number

(a)

27.

The volume of a sphere is 1436.76 cm³, find the diameter of the sphere to the nearest whole number

(a)

28.

Find the volume of the cylinder.

a)

282.6

b)

516.2

c)

133

d)

214

29.

Find the volume of the figure. Round to the nearest tenth.

a)

128.6 units³

b)

1,286.1 units³

c)

401.9 units³

d)

5,144.6 units³

30.

What is the total surface area of the cylinder to the nearest square inch?

a)

625 in²

b)

1300 in²

c)

1046 in²

d)

414 in²

31.

find the surface area of the cylinder .

a)

456.33m²

b)

1444.4m²

c)

1245.m²

d)

6666m²

32.

Given a cylinder with the height of 10cm and the base radius of 9cm. Find the volume of this cylinder.

a)

810 cm³

b)

2543.4 cm³

c)

847.8 cm³

d)

2826 cm³

33.

What is this formula used to find?
V=πr²h

a)

The volume of a cylinder

b)

The volume of a cone

c)

The volume of a sphere

d)

The area of a circle

34.

A soup can has a radius of 2.5 inches and a height of 5 inches. How much metal is needed to make the can?

a)

119.5 inches ²

b)

122.75 inches ²

c)

78.5 inches ²

d)

117.75 inches ²

35.

A company is producing wheels of cheese to distribute. If the cheese wheel has a diameter of 8 in and a height of 5 in, calculate the amount of cheese needed to create 3 wheels.

a)

678.6 in²

b)

251.2 in³

c)

3,014.4 in³

d)

753.6 in³

36.

What is the surface area formula for a cylinder?

a)

SA = πrl + πr²

b)

SA = 2πrh + 2πr²

c)

SA = 4πr²

d)

SA = πr²h

37.

What is surface area?

a)

Inside of the object

b)

The sum of all the areas of all the shapes that cover the surface of the object.

c)

Something Mrs. MacGregor made up?

d)

Surface area is what you get when you boil unicorn tears.

38.

The Curved surface area of a right circular cylinder is 4.4 sq.cm. The radius of the base is 0.7 cm. The height of the cylinder will be:

a)

2 Cm

b)

3 Cm

c)

1 Cm

d)

1.5 Cm

39.

The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into it. The ratio of the surface areas of the balloon in the two cases is

a)

1:4

b)

1:3

c)

2:3

d)

2:1

40.

The total surface area of a cube is 96 cm². The volume of the cube is:

a)

8 cm³

b)

512 cm³

c)

64 cm³

d)

27 cm³

41.

A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted and recast into a sphere. The radius of the sphere is

a)

4.2 cm

b)

2.4 cm

c)

2.1 cm

d)

1.6 cm

42.

The number of planks of dimensions (4 m × 50 cm × 20 cm) that can be stored in a pit that is 16 m long, 12m wide and 4 m deep is

a)

1900

b)

1920

c)

1800

d)

1840

43.

The radii of two cylinders are in the ratio of 2:3 and their heights are in the ratio of 5:3. The ratio of their volumes is:

a)

10: 17

b)

20: 27

c)

17: 27

d)

20: 37

44.

A well with 10 m inside diameter is dug 14m deep. Earth taken out of it is spread all around it to make an embankment of height 4 2/3 m. Find the width of the embankment.

a)

5m

b)

4m

c)

4.3m

d)

6m

45.

If the radius of a sphere is doubled, then what is the ratio of their surface area?

a)

1 : 2

b)

2 : 1

c)

1 : 4

d)

4 : 1

46.

If the radius of cylinder is halved and height is doubled, then what will be the curved surface area?

a)

increase by 1

b)

the same

c)

double

d)

triple

47.

A conical tent is 15m high and the radius of its base is 20m. The cost of canvas required to make the tent at the price of Rs. 7 per m sqaure

a)

Rs.10000

b)

Rs.12000

c)

Rs.11000

d)

Rs.9000

48.

A beam 9m long, 40cm wide and 20cm deep is made up of iron which weighs 50kg per cubic metre. The weight of the beam is

a)

27kg

b)

36kg

c)

48kg

d)

56kg

49.

If a spherical balloon grows to twice its radius when inflated, then the ratio of the volume of the inflated balloon to the original balloon is

a)

8:1

b)

4:1

c)

5:1

d)

6:1

50.

The length of canvas 1.1 m wide required to build a conical tent of height 14 m and the floor area 346.5 m², is

a)

665 m

b)

525 m

c)

490 m

d)

860 m

51.

If the lateral area of a cylinder of radius 13 cm and height 21 cm is to be covered with paper, then the area of the paper required is

a)

1588 sq cm

b)

3210 sq cm

c)

2345 sq cm

d)

1716 sq cm

52.

The cost of digging a pit of dimensions 4.5m×2.5m×2.5m at the rate of Rs 20 per cubic metre is

a)

Rs 1125.

b)

Rs 562.50.

c)

Rs 1687.50

d)

Rs 281.25.

53.

The formula to find the volume of a hemisphere =

a)

$2\pi r^2$

b)

$4\pi r^2$

c)

$\frac{4}{3}\pi r^3$

d)

$\frac{2}{3}\pi r^3$

54.

The length of the edge of a cube is 60 cm. Find the volume of the cube.

a)

$180\ cm^3$

b)

$21600\ cm^2$

c)

$216000\ cm^3$

d)

$720\ cm^3$

55.

Calculate the volume of the cuboid.

(a)

56.

If two solid hemisphere of same base radius r units are joined together along the their bases then curved surface area of this new solid is

a)

14πr2

b)

6πr2

c)

3πr2

d)

8πr3

57.

The height of a right circular cone whose radius is 5 cm and slant height is 13 cm will be

a)

12cm

b)

10cm

c)

13cm

d)

5cm

58.

If the radius of the base of a right circular cylinder is halved keeping the same height then the ratio of the volume of the cylinder thus obtained to the volume of original cylinder is

a)

1:2

b)

1:4

c)

1:6

d)

1;8

59.

In a hollow cylinder the sum of the external and internal radii is 14 cm and the width is 4 cm if its height is 20 CM then the volume of the material in it is

a)

5600π

b)

1120π

c)

56π

d)

3600π

60.

If the radius of the base of a cone is tripled and the height is doubled then the volume is

a)

Made 6 times

b)

Maid 18 times

c)

Maid 12 times

d)

Unchanged

61.

A solid sphere of radius x cm is melted and cast into a shape of a solid cone of same radius height of the cone is

a)

3x

b)

X

c)

4x

d)

2x

62.

If the radius of the base of a right circular cylinder is halved keeping the same height then the ratio of the volume of the cylinder thus obtained to the volume of original cylinder is

a)

1:2

b)

1:4

c)

1:6

d)

1;8

Mensuration

Total questions: 62

Worksheet time: 5hrs 10mins

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