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**genie2010** a Donor is willing to build a new hangar for the program with the following stipulations

- the hangar must be in the shape of a half cylinder

- the hangar to have an exact volume of 225000 cubit feet

We would like to minimize the cost of the building. Currently, the construction costs for the foundation are $30 per square foot, the sides cost $20 per square foot to construct, and the roofing costs $15 per square foot. what should the dimensions of the building be to minimize the total cost ?