Pre Calculus Q: A hangar is formed of a half cylinder with...

skyblueeyes

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A hangar is formed of a half cylinder with a rectangular base and two open, semicircular ends. The curved roof costs $7 per ft2 to build. Find an expression that represents the cost per volume of the hangar (dollars/ft3) to build the curved roof. Your cost should be a function of the radius r of the semicircular end. (Round your answer to the nearest decimal place.)

Cost per cubic foot = ?
 
A hangar is formed of a half cylinder with a rectangular base and two open, semicircular ends. The curved roof costs $7 per ft2 to build. Find an expression that represents the cost per volume of the hangar (dollars/ft3) to build the curved roof. Your cost should be a function of the radius r of the semicircular end.
What expression have you obtained for the surface area of the half-cylinder?

What expression have you obtained for the cost of this surface area?

What expression have you obtained for the volume of the half-cylinder?

How far have you gotten in relating the cost to the area?

Please be complete, starting with the basic geometric formulae. Thank you! ;)
 
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