Volume of Cylinders, Cones & Spheres

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³, where r is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder?

Back

V = 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 volume of a cone?

Back

V = (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

Calculate the volume of a sphere with a radius of 5 inches using 3.14 for π.

Back

V = (4/3) * 3.14 * (5)³ = 523.33 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

Calculate the volume of a cylinder with a radius of 3 inches and a height of 7 inches using 3.14 for π.

Back

V = 3.14 * (3)² * 7 = 197.82 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

Calculate the volume of a cone with a radius of 4 inches and a height of 9 inches using 3.14 for π.

Back

V = (1/3) * 3.14 * (4)² * 9 = 150.72 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a sphere with a radius of 4 inches?

Back

V = (4/3) * π * (4)³ = 268.08 in³ (using 3.14 for π).

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 10 inches?

Back

V = π * (2)² * 10 = 40π ≈ 125.66 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a radius of 3 inches and a height of 5 inches?

Back

V = (1/3) * π * (3)² * 5 = 15π ≈ 47.12 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between the volume of a cone and 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