Volume of Cones, Cylinders and Spheres

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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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Kayla has two spherical balls in her yard (see picture).Which statement about their volumes is true?

• The volume of Ball 2 is twice the volume of Ball 1.
• The volume of Ball 1 is 8 times the volume of Ball 2.
• The volume of Ball 1 is twice the volume of Ball 2.
• The volume of Ball 2 is 8 times the volume of Ball 1.

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CCSS.8.G.C.9

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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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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the Volume of the Cone

• 150.72 cm³
• 75.36 cm³
• 452.16 cm³
• 151 cm³

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CCSS.8.EE.A.2

Find the volume of the Sphere

• 78.5 m³

• 392.5 m³

• 523.3 m³

• 62.8 cm³

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the Volume if the height is 10 cm and radius 3 cm?

• 250
• 200
• 283
• 180

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

You have a globe that has a radius of 11 inches. Find the volume of your globe. Use 3.14 for pi.

• 523 in³

• 16,717 in³

• 5,572 in³

• 7,235 in³

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the volume to the nearest hundredth using 3.14 instead of Pi.

• 12.56 ft³
• 37.68 ft³
• 18.84 ft³
• 6.28 ft³

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3