Mathematics

Problem

A closed right circular cylinder must hold

500\pi\text{ cm}^3

of liquid. Manufacturing the side wall costs \

0.03 per cm

^{2}

, and each circular end costs

0.06 per cm

^{2}

. Shipping adds an additional \

0.01 per cm

^{2}

of surface area for every part of the can. What radius

r$ (in centimeters) minimizes the total cost of one can? a)

6.3\text{ cm}

5.3\text{ cm}

4.8\text{ cm}

5.0\text{ cm}