Originally Posted by

**zackmo11** This problem is on optimizaton.

An airplane hanger (looks like a right circular cylinder cut in half long ways) must have a volume of exactly 225,000 cubic feet. Want to minimize cost of building it when the foundation cost $30 per square foot, siding cost $20 per sq ft, and roofing cost $15 per sq ft. What are the dimensions of the hangar to achieve minimal cost???? Also, roofing costs fluctuate so what are the dimensions of the hangar if the cost of roofing is $R per sq ft?