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 units are in units cubed (in3 , ft3 , cm3 , m3 , et cetera). Be sure that all of the measurements are in the same units before computing the volume.
The volume V of a sphere is four-thirds times pi times the radius cubed.
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.
Example:
Find the volume of the sphere. Round to the nearest cubic meter.
Solution
The formula for the volume of a sphere is
From the figure, the radius of the sphere is 8 m.
Substitute 8 for r in the formula.
Simplify.
Therefore, the volume of the sphere is about 2145 m3 .
