Free Printable Exploring Cone Volume Concepts

1.

What is the volume of the cone to the nearest tenth (use the $\pi$ button)?

a)

157.1 $m^3$

b)

31.4 $m^3$

c)

471.2 $m^3$

d)

208.6 $m^3$

2.

What is the volume of the cone to the nearest tenth (use the $\pi$ button)?

a)

235.6 $m^3$

b)

706.9 $m^3$

c)

47.1 $m^3$

d)

141.4 $m^3$

3.

Which of the following correctly identifies the dimensions of this cone.

a)

$r\ =\ 10\ ,\ h\ =2$

b)

$r\ =\ 8\ ,\ h\ =2$

c)

$r\ =\ 2\ ,\ h\ =8$

d)

$r\ =\ 2\ ,\ h\ =10$

4.

Find the volume of the cone. Round your answers to the nearest tenth.

a)

127.3 yd³

b)

347.6 yd³

c)

287.7 yd³

d)

147.7 yd³

5.

What is the volume of the cone to the nearest tenth (use the $\pi$ button)?

a)

29.3 $m^3$

b)

88 $m^3$

c)

14.7 $m^3$

d)

44 $m^3$

6.

Find the volume of the figure.

a)

$139.25\ m^3$

b)

$316.77\ m^3$

c)

$265.68\ m^3$

d)

$261.8\ m^3$

7.

Find the volume to the nearest whole number using 3.14 instead of Pi.

a)

151 ft³

b)

152 ft³

c)

150 ft³

d)

150.72 ft³

8.

A cone has a radius of 3 cm and a height of 4 cm. What is the volume of the cone? Use $\pi \approx 3.14$ .

a)

37.68 cm³

b)

25.12 cm³

c)

113.04 cm³

d)

12.56 cm³

9.

A cone has a radius of 7 cm and a height of 24 cm. What is the volume of the cone? Use $\pi \approx 3.14$ .

a)

1232.16 cm³

b)

1231.36 cm³

c)

1230.56 cm³

d)

1229.76 cm³

10.

If the height of a cone is tripled and the radius remains the same, how does the volume change?

a)

It remains the same

b)

It doubles

c)

It triples

d)

It quadruples

11.

A cone-shaped container is filled with water. If the container has a radius of 5 cm and a height of 12 cm, what is the volume of water it can hold? Use $\pi \approx 3.14$ .

a)

314 cm³

b)

628 cm³

c)

942 cm³

d)

157 cm³

12.

A cone has a radius of 2 cm and a height of 9 cm. If the height is halved, what is the new volume of the cone? Use $\pi \approx 3.14$ .

a)

18.84 cm³

b)

37.68 cm³

c)

56.52 cm³

d)

75.36 cm³

13.

A cone and a cylinder have the same base radius and height. If the volume of the cylinder is 300 cm³, what is the volume of the cone?

a)

100 cm³

b)

150 cm³

c)

200 cm³

d)

300 cm³

14.

A cone has a volume of 200 cm³ and a radius of 5 cm. What is the height of the cone? Use $\pi \approx 3.14$ .

a)

5.09 cm

b)

7.64 cm

c)

8.49 cm

d)

10.19 cm

15.

If the volume of a cone is 150 cm³ and the height is 10 cm, what is the radius of the base? Use $\pi \approx 3.14$ .

a)

2.7 cm

b)

3.7 cm

c)

4.7 cm

d)

5.7 cm

16.

What is the ratio of the volume of a cone to the volume of a cylinder with the same base area and height?

a)

1:3

b)

3:1

c)

1:2

d)

2:1

17.

Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?

a)

22 cubic inches

b)

63 cubic inches

c)

66 cubic inches

d)

198 cubic inches

18.

Find the volume of the figure.

a)

$2094.4\ cm^3$

b)

$1155.72\ cm^3$

c)

$1107.49\ cm^3$

d)

$8377.58\ cm^3$

19.

Find the volume of the figure.

a)

$43.97\ m^3$

b)

$301.59\ m^3$

c)

$105.54\ m^3$

d)

$75.4\ m^3$

20.

Which 3-dimensional figure is associated with the volume formula, $V=\frac{1}{3}\pi r^2h$ ?

a)

pyramid

b)

cylinder

c)

sphere

d)

cone

Exploring Cone Volume Concepts

Total questions: 20

Worksheet time: 23mins

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