Math Homework. Do It Faster, Learn It Better.

Volume of a Sphere

A sphere is a set of points in space that are a given distance r from the center.

The volume of a 3 -dimensional solid is the amount of space it occupies.  Volume is measured in cubic units( in 3 , ft 3 , cm 3 , m 3 , et cetera).  Be sure that all of the measurements are in the same unit before computing the volume.

The volume V of a sphere is four-thirds times pi times the radius cubed.

V = 4 3 π r 3

The volume of a hemisphere is one-half the volume of the related sphere.

Note : The volume of a sphere is 2 / 3 of the volume of a cylinder with same radius, and height equal to the diameter.


Find the volume of the sphere. Round to the nearest cubic meter.


The formula for the volume of a sphere is

V = 4 3 π r 3

From the figure, the radius of the sphere is 8 m.

Substitute 8 for r in the formula.

V = 4 3 π ( 8 ) 3


V = 4 3 π ( 512 )


Therefore, the volume of the sphere is about 2145 m 3 .