A can in the shape of a right circular cylinder is required to have a volume of 500 cubic centimeters. The top
and bottom are made of material that costs 5 cents
5¢ per square centimeter, while the sides are made of material that costs 4 cents
4¢ per square centimeter.
a) Express the total cost C of the material as a function of the radius r of the cylinder. Find the right side of the equation. Express the cost in dollars.
(b) Graph Upper C equals Upper C left parenthesis r right parenthesis
C=C(r) using your graphing utility. Which graph shown below is the graph of C(r), as displayed on a graphing utility?
For what value of r is the cost C a minimum?
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