SOLUTION: why does the formula for finding the volume of a sphere work?

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Question 588917: why does the formula for finding the volume of a sphere work?
Found 2 solutions by richard1234, Edwin McCravy:
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Because you can rigorously derive the formula for the volume (using calculus). Therefore it must work.

See a proof of the volume of a sphere:
http://en.wikipedia.org/wiki/Sphere#Volume_of_a_sphere

Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!
The formula V = 4%2F3pr3 can
be proved using integral calculus.  If you study calculus you will
probably find that in your calculus book.

The first man to learn this formula was Archimedes.  Go here and learn about
the first man to discover this formula, and lots of interesting things about
him and the smart things he did.  At the bottom of each page you will see

             back | next | index

Be sure to click "next" at the bottom of each page to see the next interesting
thing about Archimedes, and this formula in particular. The site is:

http://physics.weber.edu/carroll/Archimedes/method1.htm

Edwin