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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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