Spheres, Cones, Cylinders

How do you find the volume of a sphere?

• V= ^1/₃ πr²h

• V= ^4/₃ πr²h

• V= ^4/₃ πr³

• V= πr²h

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CCSS.8.G.C.9

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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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Label each figure with the correct volume.

b

c

d

628.3 cubic cm

1,436.8 cubic cm

200 cubic cm

217.8 sq. cm

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The formula for the Volume of ...

• Cylinders

• Spheres

• Cones

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CCSS.8.G.C.9

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A solid cone was placed in the center of a rectangular fish tank as shown. Which is closest to the maximum amount of water that the fish tank can hold?

• 1286 in³

• 1455 in³

• 1476 in³

• 1569 in³

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CCSS.8.G.C.9

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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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CCSS.8.G.C.9

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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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CCSS.8.G.C.9

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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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CCSS.8.G.C.9

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Which figure has a volume of 45π ft³?

• Cylinder with a height of 5ft and diameter of 6 ft

• Sphere with a radius of 3 ft

• Cone with a radius of 3 feet and height of 5 ft

• Sphere with a diameter of 5 feet

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CCSS.8.G.C.9

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