SOLUTION: i have this problem but it's not in the book... Find what the minimum surface area for a cylindrical can will be to hold {{{500cm^3}}}. Give the radius and height.

Algebra ->  Rational-functions -> SOLUTION: i have this problem but it's not in the book... Find what the minimum surface area for a cylindrical can will be to hold {{{500cm^3}}}. Give the radius and height.       Log On


   

Question 37011: i have this problem but it's not in the book...
Find what the minimum surface area for a cylindrical can will be to hold 500cm%5E3. Give the radius and height.

Surface+area=2%28pi%29r%5E2h
volume=+%28pi%29r%5E2
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
300+=+%28pi%29r%5E2
%28300%2F%28pi%29%29%5E%281%2F2%29+=+r
........................................................
Surface+area=2%28pi%29%28%28300%2F%28pi%29%29%5E%281%2F2%29%29%5E2h
Surface+area=2%28pi%29%28300%2F%28pi%29%29h
Surface+area=600h
Surface area depends on height. If the height can only be integers greater than zero, then the minimum surface area is 600cm when the height is 1cm.