Volume and Surface Area of Spheres and Hemispheres

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 formula for the surface area of a sphere?

Back

A = 4πr², 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 hemisphere?

Back

V = (2/3)πr³, where r is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the surface area of a hemisphere?

Back

A = 3πr², where r is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If the radius of a sphere is 3 cm, what is its volume?

Back

V = (4/3)π(3)³ = 36π cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If the radius of a sphere is 5 inches, what is its surface area?

Back

A = 4π(5)² = 100π in².

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

Diameter = 2 × Radius.

Tags

CCSS.7.G.B.4

Front

How do you convert the diameter of a sphere to its radius?

Back

Radius = Diameter / 2.

Tags

CCSS.7.G.B.4

Front

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

Back

V = (4/3)π(4)³ = 64.0π mm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the surface area of a baseball with a 3 inch diameter?

Back

A = 4π(1.5)² = 9π in².

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3