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 volume calculations?

Back

Approximately 3.14.

Front

If a sphere has a radius of 3 inches, what is its volume?

Back

V = (4/3)π(3)³ = 113.1 in³.

Front

What is the volume of a sphere with a radius of 5 inches? Use 3.14 for pi.

Back

V = (4/3)π(5)³ = 523.3 in³.

Front

How do you find the radius of a sphere if you know its volume?

Back

Rearrange the volume formula: r = (3V/(4π))^(1/3).

Front

What is the volume of a sphere with a diameter of 10 inches?

Back

V = (4/3)π(5)³ = 523.3 in³.

Front

What is the relationship between diameter and radius?

Back

Radius is half of the diameter: r = d/2.

Front

If a sphere has a volume of 904.32 ft³, what is its radius?

Back

r = ((3*904.32)/(4*3.14))^(1/3) ≈ 6.2 ft.

Front

What is the volume of a sphere with a radius of 2 inches? Use 3.14 for pi.

Back

V = (4/3)π(2)³ = 33.5 in³.

Front

What happens to the volume of a sphere if the radius is doubled?

Back

The volume increases by a factor of 8.