Volume of Cylinders, Cones, & Spheres

Front

What is the formula for the volume of a cylinder?

Back

Volume = 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

Volume = (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 is the formula for the volume of a sphere?

Back

Volume = (4/3)πr³, where r is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a cylinder has a radius of 3 cm and a height of 10 cm, what is its volume?

Back

Volume = π(3)²(10) = 90π ≈ 282.74 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a radius of 4 inches and a height of 9 inches?

Back

Volume = (1/3)π(4)²(9) = 48π ≈ 150.8 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you convert cubic inches to cubic centimeters?

Back

1 cubic inch = 16.387 cubic centimeters.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

What is the volume of a sphere with a radius of 5 cm?

Back

Volume = (4/3)π(5)³ = (4/3)π(125) ≈ 523.6 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.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 the volume of the cylinder.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If the height of a cylinder is doubled, how does that affect its volume?

Back

The volume of the cylinder also doubles.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a radius of 2 m and a height of 5 m?

Back

Volume = π(2)²(5) = 20π ≈ 62.83 m³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3