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## Homework Statement

Find the volume of the largest right circular cone that can be inscribed in a sphere of radius 3.

## Homework Equations

V=π*r^2*h/3

A=πr^2 + πrl

## The Attempt at a Solution

I did multiple things that I'm not sure are correct. I took the derivative for the volume with the value of h set to (9-x^2)^(1/2). The derivative I got was;

3π/2 * (9-x^2)^(-1/2) * (-2x)

Not really sure what to do. Think I need a hint on the steps that need to be taken. Picture of problem attached.

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