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

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

Back

Use the formula r = (3V/(4π))^(1/3).

Front

What is the volume of a sphere with a radius of 3 units?

Back

V = (4/3)π(3)³ = 36π units³.

Front

What is the volume of a sphere with a radius of 5 units?

Back

V = (4/3)π(5)³ = 500/3π ≈ 523.6 units³.

Front

How do you convert diameter to radius?

Back

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

Front

What is the volume of a hemisphere?

Back

V = (2/3)πr³, where r is the radius.

Front

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

Back

r = (3*904.32/(4π))^(1/3) ≈ 6.2 ft.

Front

What is the volume of a hemisphere with a radius of 4 units?

Back

V = (2/3)π(4)³ = 42.67π units³.

Front

How do you calculate the volume of a sphere using a calculator?

Back

Input the radius, cube it, multiply by π, and then multiply by 4/3.