Exploring Volume of Cylinders, Cones, and Spheres

What is the formula to calculate the volume of a cylinder?

• Volume = Base Area * Height

• Volume = Pi * Radius

• Volume = Length * Width * Height

• Volume = 2 * Pi * Radius * Height

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

How is the volume of a cone related to the volume of a cylinder?

• It is half the volume of the cylinder.

• It is the same as the volume of the cylinder.

• It is one third the volume of the cylinder.

• It is twice the volume of the cylinder.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the volume formula for a sphere?

• Volume = 4/3 * Pi * Radius^3

• Volume = Pi * Radius^2 * Height

• Volume = 1/3 * Pi * Radius^3

• Volume = 2 * Pi * Radius^3

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

If a cylinder has a radius of 3 units and a height of 8 units, what is its volume?

• Volume = 72 Pi units^3

• Volume = 24 Pi units^3

• Volume = 36 Pi units^3

• Volume = 144 Pi units^3

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

If a cylinder's diameter is 6 inches and its height is 4 inches, what is its volume?

• Volume = 144 Pi inches^3

• Volume = 18 Pi inches^3

• Volume = 72 Pi inches^3

• Volume = 36 Pi inches^3

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the volume of a cone with a radius of 1 unit and a height of 2 units?

• Volume = 1/3 Pi units^3

• Volume = 4/3 Pi units^3

• Volume = 2/3 Pi units^3

• Volume = 2 Pi units^3

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

For a cone with a radius of 1.5 inches and height of 15 inches, what is the volume?

• Volume = 22.5 Pi inches^3

• Volume = 45 Pi inches^3

• Volume = 33.75 Pi inches^3

• Volume = 11.25 Pi inches^3

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

How do you find the radius from the diameter of a sphere?

• Multiply the diameter by Pi

• Divide the diameter by 2

• Multiply the diameter by 2

• Square the diameter

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CCSS.7.G.B.4

What is the radius of a sphere if its volume is given as 4,000/3 Pi m^3?

• 5 meters

• 20 meters

• 10 meters

• 15 meters

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A sphere has a diameter of 14 inches. What is the volume of the sphere?

• Volume = 1,372/3 Pi inches^3

• Volume = 343 Pi inches^3

• Volume = 686 Pi inches^3

• Volume = 457.33 Pi inches^3

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3