POW #3: Pineapple Cans

After graduating from college you start a company that sells cans of crushed pineapple, in various sizes (single-serving, family serving, economy size, and so on). Regardless of how many cubic units of crushed pineapple each can holds, you want to minimize the surface area and thus the cost of making the can. Assuming that the cans are right circular cylinders, what should the ratio of the height to the radius be for any volume can? Show carefully how you arrived at your answer.

Return to Laura Taalman, Burruss 127, by 2/18/04.
Include your name and email address with your solution.