# Cylinder optimization

• Dec 16th 2012, 01:36 PM
MathStruck
Cylinder optimization
I need to find dimensions of a cylinder that uses the least cost. The volume of the cylinder is 265 cm³. I just can't figure this out without ending up with weird solutions.
The cost of top of the cylinder is 0.10 cents/cm²., bottom is 0.06 cents/cm², and sides cost 0.03 cents/cm².
What I've figured out so far is Cost = 0.10πr² + 0.06πr² + 0.03(2πrh).
Any help is appreciated.
• Dec 16th 2012, 01:50 PM
skeeter
Re: Cylinder optimization
$265 = \pi r^2 h$

solve for $h$ and sub into your cost function ...
• Dec 16th 2012, 02:18 PM
MathStruck
Re: Cylinder optimization
I'll try that, thank you!