SOLUTION: a cylinder can is to be made up from steel so that its surface area is 100 sq in. express the height as a function of the radius.

Algebra ->  Surface-area -> SOLUTION: a cylinder can is to be made up from steel so that its surface area is 100 sq in. express the height as a function of the radius.       Log On


   

Question 772065: a cylinder can is to be made up from steel so that its surface area is 100 sq in. express the height as a function of the radius.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
r for radius
h for height
total surface area A.
A=2%2Api%2Ar%5E2%2B2%2Ah%2Api%2Ar+or+A=2%2Api%28r%5E2%2Bhr%29

As given, A=100=2%2Api%28r%5E2%2Bhr%29
pi%28r%5E2%2Bhr%29=50
r%5E2%2Bhr=50%2Fpi
hr=50%2Fpi-r%5E2
h=%2850%2Fpi-r%5E2%29%2Fr
highlight%28h=50%2F%28pi%2Ar%29-r%29