Question

How do you find the volume of the largest right circular cone that can be inscribed in a sphere of radius r?

Answer 1

You can see my answer to the same problem at this link:

http://socratic.org/questions/how-do-you-find-the-dimensions-radius-r-and-height-h-of-the-cone-of-maximum-volu?source=search

The only different thing is that the radius there was `2` and here `r`, but I made the substituition only at the end.