Free Printable 18.3 Volume of Cones

1.

Find the Volume of the Cone $V=\frac{\pi r^2h}{3}$

a)

150.72 cm³

b)

75.36 cm³

c)

452.16 cm³

d)

151 cm³

2.

What is the formula for volume of a CONE?

a)

$V=\pi r^2$

b)

$V=\pi r^2h$

c)

$V=\frac{\pi r^2h}{3}$

d)

$V=\frac{lwh}{3}$

3.

Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.

a)

320.4 in³

b)

314 in³

c)

205.5 in³

d)

267.4 in³

4.

Calculate the amount of ice cream this cone can hold (just to the top of the cone). Round to the nearest hundredth.

***Remember to take half of the diameter to get the radius.***

a)

58.29 cm²

b)

58.29 cm³

c)

233.15 cm²

d)

233.15 cm³

5.

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)

21 cubic inches

b)

63 cubic inches

c)

66 cubic inches

d)

198 cubic inches

6.

v = ?

***Remember to take half of the diameter to get the radius.***

a)

2,144.66 m³

b)

1,608.49 m³

c)

536.17 m³

d)

498.62 m³

7.

Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.

***Remember to take half of the diameter to get the radius.***

a)

127.3 yd3

b)

347.6 yd3

c)

287.7 yd3

d)

147.7 yd3

8.

Find the volume of the following cone.
Leave pi in your answer.

a)

$156\pi\ m^3$

b)

$702\pi\ m^3$

c)

$2106\pi\ m^3$

d)

$783\pi\ m^3$

9.

Find the volume of the cone.

a)

55.7

b)

200.96

c)

100.5

d)

33.5

10.

$V_{total}=V_{cone}+V_{cylinder}$ V = ?

$V_{total}=\frac{\pi r^2h}{3}+\pi r^2h$ Remember there are 2 different heights.

a)

1,356 m³

b)

1,734 m³

c)

377 m³

d)

590 m³

11.

Find the volume of the composite solid.

$V_{total}=V_{cone}+V_{cylinder}$
$V_{total}=\frac{\pi r^2h_{cone}^{ }}{3}+\pi r^2h_{cylinder}$ Remember there are two different heights.

a)

890.1 cm³

b)

178.0 cm³

c)

576.0 cm³

d)

874.3 cm³

12.

What is the volume of this composite figure? Use the pi button on your calculator and round the answer to the nearest tenth.

a)

4825.5 ft³

b)

1206.4 ft³

13.

$V_{total}=V_{cube}-V_{cone}$ A cone-shaped hole is cut out of a cube. How much of the cube is left? Round your answer to the nearest cubic centimeter.

$V_{total}=lwh-\frac{\pi r^2h}{3}$ Remember to divide the diameter by 2 and that there are 2 different heights.

a)

216 cm³

b)

25 cm³

c)

100 cm³

d)

191 cm³

14.

$V_{total}=V_{cone\ 1}+V_{cone\ 2}$ Find the volume of the composite solid.
Use 3.14 for pi.

a)

891.76 cm³

b)

420.76 cm³

18.3 Volume of Cones

Total questions: 14

Worksheet time: 2hrs 20mins

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