8.7A - Volume of Cylinders, Cones, & Spheres

The volume of a cylinder is 87.35 cubic inches, and the radius is 5.17 inches. Which equation can be used to find h, the height of the cylinder in inches?

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Fulgurites are pieces of glass in the shape of a cylinder produced when lightning strikes sand. A student found a fulgurite with a height of 21 inches and a diameter of 6 inches. Which equation can be used to find V, the volume of the fulgurite in cubic inches?

• V = π(6)(21)

• V = π(3)(21)

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The diameter of a cylinder is 2.5 inches, and the height is 7.5 inches. Which equation can be used to find V, the volume of the cylinder in cubic inches?

• V = π(2.5)²(7.5)

• V = π(7.5)²(2.5)

• V = π(1.25)²(7.5)

• V = π(3.75)²(2.5)

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Which equation can be used to find V, the volume of a silo with a diameter of 6.5 meters and a height of 12 meters in cubic meters?

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CCSS.8.G.C.9

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In a museum there is a sculpture in the shape of a cylinder. The cylinder has a diameter of 12 feet and a height of h feet. Which equation can be used to find V, the volume of the cylinder in cubic feet?

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cylinder and its dimensions are shown below. One equation for calculating the volume of a cylinder is V = Bh, where B represents the area of the base of the cylinder. Which expression can be used to find the value of B, in square centimeters, for this cylinder?

• 2π (12.1)

• None of these

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CCSS.7.G.B.4

A marble is in the shape of a sphere with a diameter of 13 millimeters. Which measurement is closest to the volume of the marble in cubic millimeters?

• 1,150 mm³

• 863 mm³

• 6,902 mm³

• 9,203 mm³

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CCSS.8.G.C.9

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A cone has a radius of 12 centimeters and a height of 18 centimeters. What is the volume of the cone in cubic centimeters?

• 2,592π cm³

• 144π cm³

• 864π cm³

• 1,296π cm³

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CCSS.8.G.C.9

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The diagram shows the dimensions of a container in the shape of a cylinder with a lid in the shape of a hemisphere. Which measurement is closest to the volume of the figure in cubic centimeters?

• 141.37 cm³

• 197.92 cm³

• 254.47 cm³

• 311.02 cm³

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CCSS.8.G.C.9

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Which measurement is closest to the volume of the cone in cubic centimeters?

• 314.2 cm³

• 340.3 cm³

• 754.0 cm³

• 942.5 cm³

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3