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July 2, 2015

Homework Help: Chandra

Posted by Luke on Monday, November 23, 2009 at 1:30am.

A building is the shape of an airplane hanger (a half cylinder). Construction for the foundation (rectangular part) costs $30 per square foot, the sides (semicircle bases) cost $20 per square foot and the roofing cost $15 per square foot. The volume of the entire building is 225,000 cubic feet. What should the dimensions of the building be to minimize the cost?

For my answer I got:
radius: 49.6117
height (in this case length): 58.1962

Could someone confirm my answers? Thank you very much.

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