8th Grade Unit 6 - Volume Test Review

What is the formula for the volume of a sphere?

What is the formula for the volume of a cylinder?

What is the formula for the volume of a cone?

A cylinder has a radius of 5 feet and a height of 8.6 feet. What is the approximate volume of the cylinder? Use 3.14 for pi.

• 135.02 ft³

• 675.1 ft³

• 215 ft³

• 1161.172 ft³

A cylinder-shaped water tower has a diameter of 120 ft and a height of 75 ft. What volume of water does the tower contain when it is 25% full? Use 3.14 to approximate pi.

• A. 635,850 ft³

• B. 14,130 ft³

• C. 847,800 ft³

• D. 211,950 ft³

A cylinder-shaped container is used as a rain collector. The container has a radius of 3.2 ft and a height of 5 ft. How many cubic feet of water can the container hold when full? Use 3.14 to approximate pi.

• 160.768 ft³

• 803.84 ft³

• 50.24 ft³

• 16 ft³

What is the volume of a cone with a radius of 3.8 inches and a height of 3 inches, using 3.14 for pi and rounding to the nearest tenth?

• A. 43.3 in³

• B. 45.3416 in³

• C. 136.0 in³

• D. 45.3 in³

A cone-shaped container has a height of 5.5 inches and a base with a diameter of 2.4 inches. The container will be filled with perfume that costs $20 per cubic inch. How much will it cost to fill the container with perfume? Round to the nearest cent. Use 3.14 for π.

• A. $165.79

• B. $8.30

• C. $497.38

• D. $0.42

A cone-shaped bag is used to hold popcorn at the movies. The bag has a diameter of 4 inches and a height of 6 inches. How many cubic inches of popcorn can the bag hold when full? Round to the nearest whole number. Use 3.14 to approximate pi.

• 75 in³

• 1,809 in³

• 25 in³

• 100 in³

A sphere has a radius of 4.1 inches. What is the volume of the sphere rounded to the nearest tenth? Use 3.14 for pi.

• 52.8 in³

• 288.5 in³

• 865.6 in³

• 216.4 in³