SOLUTION: cylindrical storage tank is to contain V=16,000π cubic feet (about 400,000 gallons). The cost of the tank proportional to its area, so the minimal - cost tank will be the one w
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-> SOLUTION: cylindrical storage tank is to contain V=16,000π cubic feet (about 400,000 gallons). The cost of the tank proportional to its area, so the minimal - cost tank will be the one w
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Question 1155539: cylindrical storage tank is to contain V=16,000π cubic feet (about 400,000 gallons). The cost of the tank proportional to its area, so the minimal - cost tank will be the one with minimum area. The volume (V) of cylinder of radius r and height h is πr^2, plus the side area, 2πrh. Find the dimensions, r and h, of the minimal - area tank.