FINAL EXAMINATION (D) 10 6. (15 points) Follow the steps to help answer the following question: What are the dimensions of the lightest open-top right circular cylindrical can that will hold a volume of 512 em ? (Recall: The volume of such a cylinder is given by V = wrh and the surface area of the cylinder (not including the top or bottom) is given by A = 2arh) (a) Draw an appropriately labeled picture. (b) What is the constraint (or "helper" ) equation? (c) What is the function (of a single variable) we hope to minimize? (d) What is the domain of the function given in (c)? (e) Outline/describe (but do not carry out) a method for optimizing the function given in (c) (which should depend on the domain given in (d))