Volume of a Sphere
Asphereis a set of points in space that are a given distancefrom the center.
Thevolumeof a-dimensional solid is the amount of space it occupies. Volume is measured in cubic units(, et cetera). Be sure that all of the measurements are in the same unit before computing the volume.
The volumeof 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 isof 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 ism.
Substitutefor的公式。
Simplify.
Therefore, the volume of the sphere is about.