A circular cylinder is to fit inside a sphere of radius 10cm.Calculate the maximum posiible volume of the cylinder.

Answer 1

Take a look at this problem, it is a more general case than yours, but basically the same
You can replace r by 10 in her solution, and I would have assigned 2h as the height of the cylinder. That way some of the fractions could have been avoided.
https://www.youtube.com/watch?v=cw2wg6mWO2s