Thursday, November 10, 2011

Calculus! optimization. solid is formed by adjoining two hemispheres to the ends of a right circular cylinder.?

solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An industrial tank of this shape must have a volume of 5500 cubic feet. The hemispherical ends cost twice as much per square foot of surface area as the sides. Find the dimensions that will minimize the cost.

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