Calculating Volumes of Cylinders, Cones, and Spheres

What is the formula for the volume of a cylinder?

• V = 2πrh

• V = πr^2h

• V = 1/3πr^2h

• V = 4/3πr^3

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

How is the radius of a circle related to its diameter?

• There is no relation.

• The radius is half of the diameter.

• The radius is one-third of the diameter.

• The radius is double the diameter.

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CCSS.7.G.B.4

If a cone has a diameter of 6 units, what is its radius?

• 12 units

• 3 units

• 6 units

• 9 units

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CCSS.7.G.B.4

How many cones equal the volume of one sphere, when the height is twice the radius?

• One cone

• Four cones

• Three cones

• Two cones

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CCSS.3.MD.A.2

What is the volume of a sphere with a radius of 7 units using 3.14 for π?

• 2156.66 cubic units

• 1436.03 cubic units

• 314.00 cubic units

• 706.86 cubic units

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

To find a missing dimension in a volume equation, you should:

• Multiply all known dimensions

• Divide the volume by π

• Guess and check with different values

• Set up an equation and solve for the missing dimension

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CCSS.5.MD.C.5B

CCSS.6.G.A.2

If a cylinder's volume is 45π and its radius is 3 units, what is its height?

• 5 units

• 20 units

• 15 units

• 10 units

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cone has a volume of 144π cubic units and a height of 12 units. What is its radius?

• 8 units

• 6 units

• 12 units

• 4 units

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the volume of a cylinder with a radius of 1.5 inches and a height of 6 inches using 3.14 for π?

• 84.78 cubic inches

• 42.39 cubic inches

• 28.26 cubic inches

• 56.52 cubic inches

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

For a party of 30 people, how many cubic inches of soda are needed if each person drinks one cup with a volume of 42.39 cubic inches?

• 1271.7 cubic inches

• 845.8 cubic inches

• 1691.6 cubic inches

• 2114.5 cubic inches

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CCSS.5.MD.C.5B

CCSS.6.G.A.2