Cylinder and Cone: Volume

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h, where r is the radius and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a cone?

Back

V = (1/3)πr²h, where r is the radius and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What shape is formed by the base of a cylinder?

Back

A circle.

Tags

CCSS.7.G.A.3

Front

What shape is formed by the base of a cone?

Back

A circle.

Tags

CCSS.7.G.A.3

Front

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

Back

The volume of the cone is one-third that of the cylinder.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What units are used to measure volume?

Back

Cubic units, such as cubic inches (in³), cubic centimeters (cm³), and cubic feet.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

How do you find the area of a circle?

Back

A = πr², where r is the radius.

Tags

CCSS.7.G.B.4

Front

What is the volume of a cylinder with a radius of 3 inches and a height of 5 inches?

Back

V = π(3)²(5) = 45π ≈ 141.37 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a radius of 3 inches and a height of 5 inches?

Back

V = (1/3)π(3)²(5) = 15π ≈ 47.12 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

Which label would NOT be appropriate for volume?

Back

Square miles.

Tags

CCSS.3.MD.A.2