Volume of a Sphere

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³, where V is the volume and r is the radius.

Front

What is the value of π (pi) used in calculations?

Back

Approximately 3.14.

Front

If the radius of a sphere is doubled, how does the volume change?

Back

The volume increases by a factor of 8.

Front

What is the volume of a sphere with a radius of 1 inch? Use 3.14 for pi.

Back

V = (4/3) * 3.14 * (1)³ = 4.19 in³.

Front

What is the volume of a sphere with a radius of 3 inches? Use 3.14 for pi.

Back

V = (4/3) * 3.14 * (3)³ = 113.04 in³.

Front

How do you convert diameter to radius?

Back

Radius is half of the diameter.

Front

What is the volume of a sphere with a diameter of 10 inches? Use 3.14 for pi.

Back

Radius = 5 inches; V = (4/3) * 3.14 * (5)³ = 523.33 in³.

Front

What is the volume of a tennis ball with a diameter of 2.5 inches? Use 3.14 for pi.

Back

Radius = 1.25 inches; V = (4/3) * 3.14 * (1.25)³ = 8.18 in³.

Front

What is the volume of a sphere with a radius of 4 inches? Use 3.14 for pi.

Back

V = (4/3) * 3.14 * (4)³ = 267.95 in³.

Front

What is the relationship between volume and radius in a sphere?

Back

Volume increases with the cube of the radius.