Volume of Cones, Cylinders, Spheres

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

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

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 definition of volume?

Back

The amount of space in a 3-D object.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

If a cone has a radius of 3 inches and a height of 4 inches, what is its volume?

Back

Volume = (1/3) × π × (3)² × (4) = 12π ≈ 37.7 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

A cylinder has a radius of 5 inches and a height of 10 inches. What is its volume?

Back

Volume = π × (5)² × (10) = 250π ≈ 785.4 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a sphere with a radius of 2 inches?

Back

Volume = (4/3) × π × (2)³ = (32/3)π ≈ 33.5 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How does the volume of a cone compare to a cylinder with the same base and height?

Back

The volume of the cone is one-third that of the cylinder.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a diameter of 8 inches and a height of 12 inches?

Back

Volume = π × (4)² × (12) = 192π ≈ 602.9 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a sphere has a volume of 100 in³, what is its radius?

Back

Radius = ((3 × Volume) / (4 × π))^(1/3) ≈ 2.88 in.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3