Math Volume Test Review

A rancher wants to cut a metal cylinder in half to use as a watering trough as shown.
If the cylinder has a diameter of 5 feet and a length of 9 feet, which value is closest to the volume of the trough in cubic feet? Use π = 3.14.

• 176.6 ft³

• 141.3 ft³

• 88.3 ft³

• 70.7 ft³

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Calculate the amount of ice cream this cone can hold (just to the top of the cone) . Round to the nearesthundredth.

• 58.29 cm²

• 58.29 cm³

• 233.15 cm²

• 233.15 cm³

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V = ?

• 1,356 m³

• 1,734 m³

• 377 m³

• 590 m³

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A sphere has the volume of 905 cm rounded to the nearest whole number. What is the radius of the sphere?

• 6

• 9

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Russell is filling a cylinder-shaped swimming pool that has a diameter of 20 feet. He fills it with water to a depth of 3 feet. What is the volume of the water in the pool, to the nearest cubic foot?

• 377 cubic feet

• 942 cubic feet

• 2,958 cubic feet

• 3,768  cubic feet

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A cone has a height of 30 in. and a diameter of 20 in. What is the approximate volume of the cone?

• 600 in³

• 1,885 in³

• 3,140 in³

• 12,566 in³

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Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?

• 21 cubic inches

• 63 cubic inches

• 66 cubic inches

• 198 cubic inches

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A large sphere at an amusement park is 165 feet in diameter. Which of the following is closest to the volume, in cubic feet, of the sphere? Use π=3.14.

• 261,000

• 2,351,000

• 18,810,000

• 41,210,000

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A cylindrical silo that stores grain has a diameter of 16 feet and is 40 feet tall. Find the volume of the silo to the nearest tenth. Use 3.14 for π.

• 1004.8 ft³

• 2009.6 ft³

• 8038 ft³

• 8038.4 ft³

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Which has a greater volume?
Cylinder A: r = 3 m, h = 1.2 m
Cylinder B: d = 4 m, h =2.5 m

• Cylinder A at 31.4 m³

• Cylinder B at 31.4 m³ 

• Cylinder A at 33.9 m³

• Cylinder B at 33.9 m³ 

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