# Cylindrical optimization problem

1. May 10, 2009

### wapakalypse

A closed cyliindrical container has a volume of 5000in^3. The top and the bottom of the container costs 2.50$in^2 and the rest of the container costs 4$in^2. How should you choose height and radius in order to minimize the cost?

v=pi(r)^2

Unfortunately my attempt at this problem is feeble.
I have trouble finding two equations.
past that, i can derive them and solve.
any help would be most appreciated,
thankss

2. May 10, 2009

### arunbg

Write an equation using the fact that the volume of the cylinder is known.