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**A cylindrical can with height h and radius r is to be used to store vegetarian chilli. It**

is to be made with 6 square centimetres of tin. Find the height h and radius r which

maximizes the volume of the can.

Hint: The volume of a cylinder is r2h and the surface area of the side walls of a cylinder

is 2rh. The can will also have a top and a bottom, of course — even veggie chilli spoils

if not sealed completely.

is to be made with 6 square centimetres of tin. Find the height h and radius r which

maximizes the volume of the can.

Hint: The volume of a cylinder is r2h and the surface area of the side walls of a cylinder

is 2rh. The can will also have a top and a bottom, of course — even veggie chilli spoils

if not sealed completely.

I don't know how to solve this question. The mechanics aren't important to me, I'm more concerned of the method. Can somebody explain their methodology for such a question? Thank you!