Volume of Cylinders and Cones

What is the volume of a cylinder that has a diameter that is 8 feet and a height that is 7 feet? Round to the nearest tenth. 

• 351.9
• 1231.5
• 1407.4
• 615.8

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cone has a height of 6 centimeters and a radius of 5 centimeters. What is the volume of this shape? Round to the nearest hundredth. 

• 471.24
• 565.49
• 188.5
• 157.08

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CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

A cone and a cylinder have the same diameter and height. How many times greater is the cylinder's volume than the cone's?

• 1
• 2
• 3
• 4

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

• 70 cm³
• 35 cm²
• 183 cm³
• 549 cm³

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the formula for the volume of this shape?

• V = 2πr²h
• V = πr²h
• V=⅓πr²h
• V=πrh²

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Which of the following is the correct definition of volume?

• The area of the surface of a 3D solid

• The amount of space taken up by a 3D solid

• The space inside a 2D shape

• The length around a 2D shape

Find the volume of the cylinder.

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CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Why does the formula for the volume of a cone involve dividing by 3?

• Because it takes 3 cones to fill up a cylinder

• Because it takes 3 cylinders to fill up a cone

• Because it has a circle on the bottom

• Because 3 is always the height

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CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Find the volume of a cone with a diameter of 12 ft and a slant height of 10 ft.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

• 17 cm

• 127.5 cm

• 53,786 cm

• 63.7 cm

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3