On May 29, 2013, at 1:10 AM, Wayne Bishop <email@example.com> wrote:
> Details of the algebra notwithstanding, what in the world did you think I meant? "Better would be to have them express - and then graph - - volume of resulting cylinders as a function of side length of rectangles of fixed area and find the maximum. Nice algebra and it greases the skids for eventual calculus. What a concept."
Nice idea, but wrong problem.:) The problem with this problem is that without a bottom and/or top to the cylinder, the volume for a fixed surface area has no maximum. The shorter/wider you make the cylinder, the larger the volume.