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Choose the One Alternative That Best Completes the Statement or Answers

question 7

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) =2πr2+1,100rS ( r ) = 2 \pi r ^ { 2 } + \frac { 1,100 } { r } ,
where rr 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.
 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}


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