Volume Unit Test Math 8

2.

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

• A. 4/3(pi)(17³)

• B. 4/3(pi)(17²)

• C. 4/3(pi)(8.5³)

• D. 4/3(pi)(8.5²)

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CCSS.8.G.C.9

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3.

Jessie is looking for the volume of the cone below, and she is using the formula V=(1/3)Bh. Which of the following is the value of "B"?

• A. 113.04 units²

• B. 1,243.44 units²

• C. 414.48 units²

• D. 36 units²

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CCSS.8.G.C.9

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5.

Ollie has a jar of preserves in the shape of the cylinder shown below. If the jar is currently 1/4 full of preserves, what is the volume of preserves in the jar?

• A. 100.48 units³

• B. 75.36 units³

• C. 33.49 units³

• D. 25.12 units³

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CCSS.8.G.C.9

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6.

which of the following is the volume of a hemisphere with a radius of 8 inches?

• A. 1,607.68 inches³

• B. 1,071.79 inches³

• C. 2,143.57 inches³

• D. 535.89 inches³

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CCSS.8.G.C.9

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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

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CCSS.8.G.C.9

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10.

A cylinder has a volume of 24 cubic feet. Which of the following could have the same radius and height as the cylinder?

• A. a cone with a volume of 72 ft³

• B. A cone with a volume of 32 ft³

• C. A sphere with a volume of 18 ft³

• D. A cone with a volume of 8 ft³

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CCSS.3.MD.A.2

11.

A frozen yogurt shop allows guests to full a cone shaped cup with frozen yogurt, and customers pay $0.08 per cubic inch. If each cup has a radius of 3 inches and a height of 5 inches, what would it cost to fill the cone to its full capacity?

• A. $3.77

• B. $1.88

• C. $11.30

• D. $0.49

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CCSS.8.G.C.9

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12.

A cone, a cylinder and a sphere all have the same radius and the same height. Which would have the largest volume?

• A. The cone

• B. The cylinder

• C. The sphere

• D. The sphere and cylinder would have the same volume.

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CCSS.3.MD.A.2

15.

Darla has three buckets shaped like cylinders. She is filling buckets with water by using a scoop shaped like a cone. If the cone has the same radius and the same height as the buckets, how many scoops will it take her to fill the three buckets?

• A. 3 scoops

• B. 9 scoops

• C. 27 scoops

• D. There is not enough information to tell.

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