Volume

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3) × π × r² × h, where r is the radius and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you find the radius of a circle if you know the diameter?

Back

Radius = Diameter / 2.

Tags

CCSS.7.G.B.4

Front

What is the formula for the volume of a sphere?

Back

Volume = (4/3) × π × r³, where r is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a cylinder?

Back

Volume = π × r² × h, where r is the radius and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a cone has a diameter of 8 feet, what is its radius?

Back

Radius = 8 feet / 2 = 4 feet.

Tags

CCSS.7.G.B.4

Front

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

Back

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between radius and diameter?

Back

The diameter is twice the length of the radius.

Tags

CCSS.7.G.B.4

Front

How do you calculate the height of a cylinder if you know its volume and radius?

Back

Height = Volume / (π × r²).

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

Volume = (4/3) × π × (5)³ = 523.6 m³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a cylinder has a volume of 25.2 ft³ and a radius of 2 feet, what is the height?

Back

Height = 25.2 / (π × (2)²) ≈ 2 ft.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3