Lateral surface area costs

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Reference no: EM132077049

Please show each step of solving the problem below:

A right circular cylindrical can is to have a volume of 90π cubic inches. Find the height h and the base radius r such that

(a) the surface area of the can is minimum

(b) the cost of the can is minimum, given that the top and bottom cost 5 ¢ per square inch and the lateral surface area costs 3 ¢ per square inch.

Reference no: EM132077049

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