Thread: Modeling and Optimization help

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.

Originally Posted by maximade

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.

go to the link ... scroll down to problem #5

Applications of maximum and minimum values - An approach to calculus