Volume of Cylinders, Cones and 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

How do you find the height of a cone if you know the volume and radius?

Back

Rearrange the volume formula: h = (3V)/(πr²).

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a cylinder has a volume of 100 cm³ and a radius of 5 cm, what is its height?

Back

Height = Volume / (πr²) = 100 / (π * 5²) ≈ 1.3 cm.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between diameter and radius?

Back

Diameter = 2 * Radius.

Tags

CCSS.7.G.B.4

Front

How do you convert the volume of a cylinder from cubic feet to cubic inches?

Back

Multiply by 1728 (since 1 ft³ = 1728 in³).

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

What is the volume of a cone with a radius of 3 cm and a height of 4 cm?

Back

Volume = (1/3)π(3)²(4) ≈ 37.7 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

Volume = (4/3)π(5)³ ≈ 523.6 cm³.

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 also doubles, since Volume = πr²h.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3