I have a bunch of practice problems like this and I can't figure them out ;/ if someone can answer it and show me how they got the problem that would be awesome!

1. Find the dimensions of a right cylinder of greatest surface area that can be inscribed in a sphere of radius 9

Question

I have a bunch of practice problems like this and I can't figure them out ;/ if someone can answer it and show me how they got the problem that would be awesome!

1. Find the dimensions of a right cylinder of greatest surface area that can be inscribed in a sphere of radius 9

anonymous · Answer

wow, this is a tough question. what class is this?

anonymous · Answer

ok so you're going to have to use related rates. use the expression for the surface area of the cylinder and the relationship between the radius of the cylinder to the radius of the sphere. take the derivative of the radius of the cylinder and solve for the zeroes.