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Sphere (C)

If a sphere has radius R then its volume is

\begin{displaymath}
\frac{4}{3}\pi R^3.\end{displaymath}

Exercises

1.
What is the volume of a sphere whose radius is 3 meters?
2.
What is the radius of a sphere whose volume is one liter?
3.
If the radius of a sphere is tripled, what is the effect on the volume?
4.
If the surface area of a sphere is doubled, what is the effect on the volume?
5.
If the volume of a sphere is halved, what is the effect on the radius?
6.
If I reduce the volume of a sphere to one third of its current volume, what is the effect on the surface area?
7.
A sphere is circumsribed about a cube of volume 1 cubic meter. What is the volume of the sphere?


Eric S Key
12/30/1999