Volumes of Solids

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 the diameter of a circle is 50 yards, what is the radius?

Back

Radius = 25 yards.

Tags

CCSS.7.G.B.4

Front

How do you calculate the volume of a solid with a known volume?

Back

The volume is given directly; no calculation is needed.

Tags

CCSS.5.MD.C.5C

Front

What is the volume of a sphere with a radius of 3 inches?

Back

Volume = (4/3)π(3)³ = 36π ≈ 113.1 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

Volume = π(2)²(5) = 20π ≈ 62.8 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

Volume = (1/3)π(4)²(9) = 48π ≈ 150.8 m³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cube with a side length of 3 cm?

Back

Volume = side³ = 3³ = 27 cm³.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

What is the relationship between diameter and radius?

Back

Diameter = 2 × Radius.

Tags

CCSS.7.G.B.4