Math Help - Need help with Optimization

1. Need help with Optimization

A cone is cut from a sphere of radius $a$. You are to find the cone with the largest volume.
Calculate the volume of this cone exactly.

2. Originally Posted by mortalcyrax
A cone is cut from a sphere of radius $a$. You are to find the cone with the largest volume.
Calculate the volume of this cone exactly.

go to the link, then scroll down to problem #15

Maximum/Minimum Problems