unit 10 assessment - volume

1. What is the volume of the cylinder below? (answer with a number only)

2. Angela needs to find the volume of the sphere shown below. Which formula should she use?

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• A. 113.04 units squared

• B. 1,243.44 units squared

• C. 414.48 units squared

• D. 36 units squared

4. What is the volume of the cone shown below? Round to the nearest tenth. (answer with only a number)

5. Ollie has a jar of preserves in the shape of the cylinder shown below. If the jar is currently one fourth full of preserves, what is the volume of preserves in the jar?

• A. 100.48 inches cubed

• B. 75.36 inches cubed

• C. 33.49 inches cubed

• D. 25.12 inches cubed

6. Which of the following is the volume of a hemisphere with a radius of 8 inches?

• A. 1,607.68 inches cubed

• B. 1,071.79 inches cubed

• C. 2,143.57 inches cubed

• D. 535.89 inches cubed

7a. The cone shown below has a slant height of 15 centimeters and a height of 12 centimeters. What is the radius of the cone? (answer with a number only)

7b. The cone shown below has a slant height of 15 centimeters and a height of 12 centimeters. What is the volume of the cone?

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8. Find the volume of the sphere shown below. Leave your answer in terms of 𝜋.

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9. A kid’s pool is cylindrical and has a radius of 5 feet and a height of 2 feet. If a cubic foot holds about 7.48 gallons of water, how many gallons of water does the kid’s pool hold?

• A. 157 gallons

• B. 52.3 gallons

• C. 1,174.4 gallons

• D. 21 gallons