SOLUTION: Please help me with the problem below: The volume of a cylindrical is 500cm^3. The material used to make the top and bottom costs 0.012 cent/cm^2, the material used for the side

Algebra ->  Rational-functions -> SOLUTION: Please help me with the problem below: The volume of a cylindrical is 500cm^3. The material used to make the top and bottom costs 0.012 cent/cm^2, the material used for the side      Log On


   

Question 984253: Please help me with the problem below:
The volume of a cylindrical is 500cm^3. The material used to make the top and bottom costs 0.012 cent/cm^2, the material used for the sides cots 0.01 cent/cm^2, and the seam joining the top and bottom to the sides cots 0.015 cent/cm. What size can would cost the least to produce?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
volume, h%2Api%2Ar%5E2=500

Total surface area
2%2Api%2Ar%5E2
and
2h%2Api%2Ar

Total seam length
4pi%2Ar

Formula or function for cost using the given prices
0.012%282pi%2Ar%5E2%29%2B%280.01%29%282h%2Api%2Ar%29%2B0.015%284pi%2Ar%29

Use the volume equation to substitute for h, and you can then simplify the cost function to be in just a single variable, r. Not here a finished solution but should help much.