Mathematics

Problem

A manufacturer wants to design a cylindrical can that holds

500\,\text{cm}^3

of liquid. The cost of the metal for the side is half the cost per square centimeter of the metal for the top and bottom. Which radius

r

(to the nearest tenth of a centimeter) minimizes the total material cost? a)

4.3\,\text{cm}

5.4\,\text{cm}

3.4\,\text{cm}

2.7\,\text{cm}