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. 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!