1.) For its beef stew. Betty Moore Company uses aluminum containers that have the form of right circular cylinders. Find the radius and height of a container if it has a cpacity of 216cm^3 and is constructed using the least amount of metal.
2.) A wooden beam has a rectangular cross section of height h cm and width w cm. The streghth of S of the beam is directly proportional to its width and the square if its height. What are the dimensions of the cross section of the strongest beam that can be cut from a round log of diameter 24cm?
hint: * S=kh^2w, where k is a constant of proportionality.