Choose the One Alternative That Best Completes the Statement or Answers

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
-A steel can in the shape of a right circular cylinder must be designed to hold 550 cubic centimeters of juice (see figure) . It can be shown that the total surface area of the can (including the ends) is given by $S ( r ) = 2 \pi r ^ { 2 } + \frac { 1,100 } { r }$ ,
where $r$ is the radius of the can in centimeters. Using the TABLE feature of a graphing utility, find the radius that minimizes the surface area (and thus the cost) of the can. Round to the nearest tenth of a centimeter.

A) $0 \mathrm {~cm}$
B) $5.6 \mathrm {~cm}$
C) $4.4 \mathrm {~cm}$
D) $3.6 \mathrm {~cm}$