Height and Radius of Cylinders Cones and Spheres

A cone with a radius of 5 inches has a volume of approximately 314 cubic inches. Which of the following best represents the height of the cone?

• 8 inches

• 4 inches

• 12 inches

• 16 inches

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A sphere has a volume of approximately 113 cubic units. Which of the following best represents the radius of the sphere?

• 4 units

• 2 units

• 3 units

• 5 units

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CCSS.8.G.C.9

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The volume of a cylinder is approximately 942 cubic inches. The height of the cylinder is 12 inches. Which is the best approximation for the radius of the cylinder?

• 4 inches

• 5 inches

• 6 inches

• 7 inches

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The circumference of the great circle of a sphere is 12π inches. Which of the following expressions can be used to approximate the volume of the sphere?

• 12³ x 3.14 x 4/3

• 12² x 3.14 x 4/3

• 6³ x 3.14 x 4/3

• 24³ x 3.14 x 4/3

Ms. Samson is using several cones to decorate for a party. The cones she has chosen are 8 inches tall and have a radius of 3 inches. What is the volume of one of the cones to the nearest whole cubic inch?

• 75 cubic inches

• 77 cubic inches

• 79 cubic inches

• 81 cubic inches

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Ben drew a cylinder with a ten-inch diameter and a height of 8 inches. Robert drew a cylinder with an eight-inch diameter and a height of 10 inches. Ben stated that he thought the volumes of their two cylinders would be equal. Which statement is true?

• Ben’s statement is correct. They will have the same volume.

• Ben’s statement is incorrect. Ben’s cylinder will have a volume about 125 cubic units more than Robert’s cylinder.

• Ben’s statement is incorrect. Ben’s cylinder will have a volume about 300 cubic units more than Robert’s cylinder.

• Ben’s statement is incorrect. Robert’s cylinder will have a volume about 125 cubic units more than Ben’s cylinder.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cylinder and a cone have congruent bases and heights. What will be the relationship of the volumes of the two figures?

• The volume of the cylinder will be twice the volume of the cone.

• The volume of the cone will be one-fourth the volume of the cylinder.

• The volume of the cylinder will be 4/3 the volume of the cone.

• The volume of the cylinder will be three times the volume of the cone.

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CCSS.5.MD.C.5C

A large ice cream cone has a radius of 1.5 inches and a height of 4 inches. Janie orders 1 dip of ice cream that fills the top of the cone so that half of the sphere of ice cream is above the cone and half is pushed into the cone. Which is closest to the volume of the cone NOT filled with ice cream?

• 9 cubic inches

• 14 cubic inches

• 7 cubic inches

• 2 cubic inches

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Which cylinder has a volume that is more than 200 cubic units but less than 300 cubic units?

• 
• 
• 
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CCSS.8.G.C.9

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A cylinder has a rectangular prism that fits inside so that the vertices of the prism are on the bases of the cylinder. The top view of the cylinder and prism is shown below. The cylinder and prism are 12 inches tall. Which statement is NOT true?

• The volume of the prism is 576 cubic inches.

• The volume of the cylinder is about 942 cubic inches.

• The volume of the prism fills about 75% of the volume of the cylinder.

• The volume of the cylinder not contained in the prism is about 366 cubic inches.

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CCSS.8.G.C.9

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