A cylindrical chemical storage tank with a capacity of 1000 is to be constructed and stood upright in a warehouse that is 12m by 15m and has a height of 11m. The specifications call for the base to be made of sheet steel, which costs $100/m, the top of sheet steel, which costs $50/m, and the wall of sheet steel costing $80/m (round final answer to two decimal places) a. Determine, if the tank is possible, the dimensions of the tank that meet the conditions and that minimizse the cost of construction.

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Section9.1: Prisms, Area And Volume
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A cylindrical chemical storage tank with a capacity of 1000 is to be constructed and stood upright in a warehouse that is 12m by 15m and has a height of 11m. The specifications call for the base to be made of sheet steel, which costs $100/m, the top of sheet steel, which costs $50/m, and the wall of sheet steel costing $80/m (round final answer to two decimal places)

a. Determine, if the tank is possible, the dimensions of the tank that meet the conditions and that minimizse the cost of construction.

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