Volume of Cylinders, Cones, and Spheres Word Problems

You have a globe that has a radius of 11 inches. Find the volume of your globe. 

• 523 in³
• 16,717 in³
• 5,575 in³
• 7,235 in³

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Mike created a cone that has a diameter of 8 feet and a height of 3 feet. Find the volume of this cone. 

• 50.24 ft³
• 150.72 ft³
• not here
• 192.65 ft³

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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

CCSS.HSG.GMD.A.3

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

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Jack is making 4 cylindrical wax candles. If he plans to make candles with a diameter of 7 cm and a height of 12 cm, approximately how many cubic centimeters of wax will Jack need to make the candles?

• 7,389 cm³
• 6,333 cm³
• 3,167 cm³
• 1,847 cm³

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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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A party hat has a diameter of 18 centimeter and a height of 25 centimeter. Find the volume of air it can occupy.

• 5221.5
• 1255.5
• 2229.5
• 2119.5 cm

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3