An aluminum can is cubic being designed to hold a volume of 100 centimeters. (a) Find a

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An aluminum can is cubic being designed to hold a volume of 100π centimeters.image



(a) Find a formula for the volume V in terms of r and h. 


(b) Write a formula for a function S that calculates the outside surface area of the can in terms of only r. Evaluate S(2) and interpret the result. 


(c) Find the dimensions that result in the least amount of aluminum being used in its construction.

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