# Volume Calculations (Grade 8)

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## Volume Calculations

1.

What is the approximate volume of a cone with a height of 6 cm and a base radius of 2 cm? (Use [math]pi[/math] = 3.14).

- 25 cubic centimeters
- 23 cubic centimeters
- 75 cubic centimeters
- 38 cubic centimeters

2.

Compute the height (in meters) of a cylinder with a radius of 2m and volume 138 cubic meters. Round to the nearest meter. (Use [math]pi[/math] = 3.14)

- 8 m
- 14 m
- 11 m
- 22 m

3.

Find the volume of a cylinder with a radius of 6 cm and a height of 21 cm. Use [math]22//7[/math] for pi.

- 396 cubic centimeters
- 792 cubic centimeters
- 2,772 cubic centimeters
- 2,376 cubic centimeters

4.

Find the volume of a sphere with a radius of 20 mm. Use 3.14 for pi.

- 251.2 cubic millimeters
- 125.6 cubic millimeters
- 100,480 cubic millimeters
- 33,493.33 cubic millimeters

5.

What is the approximate volume of a cone with a height of 8 cm and a base radius of 3 cm? (Use [math]pi[/math] = 3.14)

- 75.36 cubic centimeters
- 72 cubic centimeters
- 71 cubic centimeters
- 70 cubic centimeters

6.

A water tank is in the shape of a right circular cylinder with a height of 20 feet and a

volume of [math]320pi[/math] cubic feet. What is the diameter, in feet, of the water tank?

volume of [math]320pi[/math] cubic feet. What is the diameter, in feet, of the water tank?

- 16
- 10
- 8
- 4

7.

Thomas fills an ice cream cone to the top edge. The diameter of the ice cream cone is 2 inches and its height is 6 inches. Dan fills a bowl (V=5 cubic inches) with ice cream. Thomas has how much more ice cream than Dan?

- 1.2 cubic inches
- 1.28 cubic inches
- 1.1 cubic inches
- 1 cubic inches

8.

The average size cylindrical trash has a height of 4 ft and the diameter of 1.5 ft. What is the volume of a trash can that is one foot taller and the diameter is the same as the average size can?

- 8.84 cubic feet
- 8.82 cubic feet
- 8.80 cubic feet
- 8.86 cubic feet

9.

Andrew's job is to attach a ladder to a water tank. The water tank is a 20 feet wide cylinder and has a volume of 9,420 cubic feet. If the length of the ladder is equal to the height of the water tank, how long is the ladder?

- 30 ft
- 9.5 ft
- 8.9 ft
- 11 ft

10.

A pencil has a diameter of 0.75 cm and a length of 20 cm. How much wood is in the pencil?

- 26.5 [math]cm^3[/math]
- 8.8 [math]cm^3[/math]
- 35.3 [math]cm^3[/math]
- 6.3 [math]cm^3[/math]

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