# Volumes of Cones, Cylinders, and Spheres (Grade 8)

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## Volumes of Cones, Cylinders, and Spheres

1.

What is the formula for the volume of a sphere?

- [math]V = l xx w xx h[/math]
- [math]V = 1/3pir^2h[/math]
- [math]V=pir^2h[/math]
- [math]V=4/3pir^3[/math]

2.

What is the formula for the volume of a cylinder?

- [math]V = l xx w xx h[/math]
- [math]V = 1/3pir^2h[/math]
- [math]V=pir^2h[/math]
- [math]V=4/3pir^3[/math]

3.

What is the formula for the volume of a cone?

- [math]V = l xx w xx h[/math]
- [math]V = 1/3pir^2h[/math]
- [math]V=pir^2h[/math]
- [math]V=4/3pir^3[/math]

4.

What is the approximate volume of a cone with a radius of 4 cm and a height of 7 cm?

- 29 cm cubed
- 117 cm cubed
- 268 cm cubed
- 352 cm cubed

5.

What is the approximate volume of a cylinder with a radius of 5 in and a height of 4 in?

- 63 inches cubed
- 105 inches cubed
- 251 inches cubed
- 314 inches cubed

6.

What is the approximate volume of a sphere with a radius of 3 ft?

- 14 cubic feet
- 113 cubic feet
- 339 cubic feet
- 905 cubic feet

7.

Ace Canning Company is redesigning its product. The new cans will have twice the radius, but the same height of the original cans. Which statement is true about the volume of the new cans compared to the volume of the original cans?

- the volumes of the new and original cans will be equal
- the volume of the new cans will be twice the volume of the original cans
- the volume of the new cans will be four times the volume of the original cans
- not enough information to determine

8.

Abbey's waffle ice cream cone and a sugar ice cream cone hold the same volume of ice cream. The height of the waffle cone is 10 cm and its radius is 5 cm. What is the radius of the sugar cone, to the nearest cm, if its height is 14 cm?

- 4 cm
- 5 cm
- 7 cm
- 9 cm

9.

The diameter of the earth is about 7,918 miles. Which of the following is the best estimate of the earth's volume?

- [math]5.0 xx 10^4[/math] cubic miles
- [math]10.0 xx 10^4[/math] cubic miles
- [math]2.6 xx 10^11[/math] cubic miles
- [math]2.1 xx 10^12[/math] cubic miles

10.

Which of the following will hold the greatest volume?

- a sphere with a radius of 10 cm
- a cube with a side length of 10 cm
- a cone with a radius of 10 cm and a height of 10 cm
- a cylinder with a radius of 10 cm and a height of 10 cm

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