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) $3.6 \mathrm {~cm}$

Question

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) $3.6 \mathrm {~cm}$

Quizplus · Accepted Answer

The Answer of 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) $3.6 \mathrm {~cm}$

Choose the One Alternative That Best Completes the Statement or Answers