The Question:

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

Cone:1/3pir^2h

sphere:4/3pir^3

Okay, I'm guessing that i need to find r of the cone first through manipulating the sphere formula?

I'm honestly exactly sure in how to do this, please explain this and show work to me, thank you.