A cylindrical chemical storage tank with a capacity of 950m’ is going to be constructed in a warehouse that is 11m by 14m with a height of 10m. The specifications call for the case to be made of sheet...

A cylindrical chemical storage tank with a capacity of 950m’ is going to be constructed in a warehouse that is 11m by 14m with a height of 10m. The specifications call for the case to be made of sheet metal that costs $90/m², the top to be made from sheet metal that costs $45/m² and the wall to be made of sheet metal that costs $80/m². If you want to minimize the cost to make the storage house, how much would you end up spending to build the tank?