Free Printable Volume of Cylinders and Cones

1.

What is the volume of a cylinder that has a diameter that is 8 feet and a height that is 7 feet? Round to the nearest tenth.

a)

351.9

b)

1231.5

c)

1407.4

d)

615.8

2.

A cone has a height of 6 centimeters and a radius of 5 centimeters. What is the volume of this shape? Round to the nearest hundredth.

a)

471.24

b)

565.49

c)

188.5

d)

157.08

3.

A cone and a cylinder have the same diameter and height. How many times greater is the cylinder's volume than the cone's?

a)

1

b)

2

c)

3

d)

4

4.

a)

70 cm³

b)

35 cm²

c)

183 cm³

d)

549 cm³

5.

What is the formula for the volume of this shape?

a)

V = 2πr²h

b)

V = πr²h

c)

V=⅓πr²h

d)

V=πrh²

6.

Which of the following is the correct definition of volume?

a)

The area of the surface of a 3D solid

b)

The amount of space taken up by a 3D solid

c)

The space inside a 2D shape

d)

The length around a 2D shape

7.

Find the volume of the cylinder.

a)

$2010.6\ cm^3$

b)

$502.7\ cm^3$

c)

$80\ cm^3$

d)

$251.3\ cm^3$

8.

Why does the formula for the volume of a cone involve dividing by 3?

a)

Because it takes 3 cones to fill up a cylinder

b)

Because it takes 3 cylinders to fill up a cone

c)

Because it has a circle on the bottom

d)

Because 3 is always the height

9.

Find the volume of a cone with a diameter of 12 ft and a slant height of 10 ft.

a)

$377\ ft^3$

b)

$1131\ ft^3$

c)

$301.6\ ft^3$

d)

$904.8\ ft^3$

10.

Find the height of a cylinder with a diameter of 15 cm and a volume of approximately 3,004 $cm^3$ .

a)

17 cm

b)

127.5 cm

c)

53,786 cm

d)

63.7 cm

11.

Find the height of a cone with a radius of 10 in and a volume of approximately $419\ in^3$ .

a)

1.3 in

b)

4 in

c)

40 in

d)

13.3 in

Volume of Cylinders and Cones

Total questions: 11

Worksheet time: 55mins

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