Volume of Cylinder, Cone, & Sphere

Front

What is the formula to find the volume of a Cylinder?

Back

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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What is the formula to find the volume of a Cone?

Back

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula to find the volume of a Sphere?

Back

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

Define the term 'volume' in geometry.

Back

Volume is the amount of space occupied by a three-dimensional object, measured in cubic units.

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CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

What units are commonly used to measure volume?

Back

Common units for measuring volume include cubic centimeters (cm³), liters (L), and cubic inches (in³).

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CCSS.3.MD.A.2

Front

How does the volume of a cylinder change if the height is doubled?

Back

If the height of a cylinder is doubled, the volume also doubles, since volume is directly proportional to height.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If the radius of a cone is halved, how does that affect its volume?

Back

If the radius of a cone is halved, the volume decreases to one-fourth of the original volume, since volume is proportional to the square of the radius.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between the volume of a cone and a cylinder with the same base and height?

Back

The volume of a cone is one-third the volume of a cylinder with the same base and height.

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CCSS.3.MD.A.2

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How do you calculate the volume of a composite shape that includes a cylinder and a cone?

Back

To find the volume of a composite shape, calculate the volume of each individual shape and then add them together.

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CCSS.5.MD.C.5C

Front

What is the significance of π (pi) in volume formulas?

Back

π (pi) is a constant that represents the ratio of the circumference of a circle to its diameter, and it is essential in formulas involving circular shapes.

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CCSS.HSG.GMD.A.1