The 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 Sphere is the amount of space it occupies. Volume is measured in cubic units (in3,ft3,cm3,m3 etc).
The volume V of a sphere is four-thirds times pi times the radius cubed.
The volume of a hemisphere is one-half of the volume of the related sphere.
Example 1:
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.
Example 2:
A sphere has a volume of 500 cm3. Calculate the radius of the sphere. Round your answer to the nearest whole number.
Solution
The formula for the volume of a sphere is…
Substitute V = 500…
Re-arrange for r…
The opposite of the cubic power is the cubed root…
