In this project we investigate the most economical shape for a can. We first first interpret this to mean that the volume V of a cylinder can is given and we need to find the height h and radius r that minimize the cost of the metal to make the can (see the picture). 1. If we disregard any waste metal in the manufacturing process, then the problem is to minimize the surface area of the cylinder. If a cylindrical can needs to hold 1 liter of soup, find the dimensions that will minimize the cost of the metal used to manufacture the can (disregarding waste). Also, show that under these conditions, h = 2r. (Or the height is the same as the diameter)