Geometry - Practice: Volume of Spheres

Front

What is the formula for the volume of a sphere?

Back

The volume V of a sphere is given by the formula V = (4/3)πr³, where r is the radius of the sphere.

Front

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

Back

To find the radius r from the volume V, use the formula r = (3V/(4π))^(1/3).

Front

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

Back

The volume is V = (4/3)π(5)³ = 523.6 cubic inches.

Front

If the diameter of a sphere is 10 cm, what is its radius?

Back

The radius is half of the diameter, so the radius is 5 cm.

Front

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

Back

The volume is V = (4/3)π(3)³ = 113.1 cubic centimeters.

Front

What is the relationship between diameter and radius?

Back

The diameter is twice the radius: diameter = 2 × radius.

Front

How do you convert diameter to radius?

Back

To convert diameter to radius, divide the diameter by 2.

Front

What is the volume of a basketball with a radius of 4.7 inches?

Back

The volume is approximately 434.9 cubic inches.

Front

What is the volume of a tennis ball with a diameter of 14 cm?

Back

The volume is approximately 1436.8 cubic centimeters.

Front

What is the volume of a hemisphere?

Back

The volume V of a hemisphere is given by V = (2/3)πr³, where r is the radius.