Volume

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 2 ft and a height of 2 ft, what is its volume?

Back

Volume = π(2)²(2) = 8π ≈ 25.1 ft³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

Volume = π(3)²(5) = 45π ≈ 141.4 ft³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a diameter of 8 ft and a height of 3 ft?

Back

Volume = (1/3)π(4)²(3) = 16π ≈ 50.3 ft³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

Volume = (4/3)π(5)³ = (4/3)π(125) ≈ 523.6 m³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between the diameter and radius of a circle?

Back

Diameter = 2 × Radius.

Tags

CCSS.7.G.B.4

Front

What is the volume of a cylinder with a volume of 25.2 ft³ and a radius of 2 ft?

Back

Height = Volume / (πr²) = 25.2 / (π(2)²) ≈ 2 ft.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What shape has a volume of 50.3 ft³ and is formed by rotating a triangle around an axis?

Back

Cone.

Tags

CCSS.7.G.A.3