WU: Volume of Spheres

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) commonly approximated as?

Back

3.14

Front

If a sphere has a radius of 5 inches, what is its volume?

Back

V = (4/3)π(5)³ = 523.3 in³.

Front

What is the difference between radius and diameter?

Back

The radius is half the diameter; the diameter is twice the radius.

Front

How do you calculate the radius from the volume of a sphere?

Back

r = (3V/(4π))^(1/3).

Front

What is the volume of a hemisphere?

Back

V = (2/3)πr³.

Front

If the volume of a sphere is 904.3 in³, what is the radius?

Back

r ≈ 6.2 in.

Front

What does volume measure?

Back

Volume measures the amount of space occupied by a 3-D object.

Front

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

Back

267.9 in³.

Front

What is the volume of a hemisphere with a radius of 6 inches?

Back

V = (2/3)π(6)³ = 452.2 in³.