SOLUTION: A soup can is to be covered with a label. What fraction of the total surface area of the can will be covered by the label?

Algebra ->  Surface-area -> SOLUTION: A soup can is to be covered with a label. What fraction of the total surface area of the can will be covered by the label?      Log On


   

Question 1103910: A soup can is to be covered with a label. What fraction of the total surface area of the can will be covered by the label?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The ends of the can will not be covered.
A%5BE%5D=2pi%2AR%5E2
The label will cover,
A%5BL%5D=2pi%2AR%2AH
The total surface area is then,
A%5BT%5D=A%5BE%5D%2BA%5BL%5D
A%5BT%5D=2pi%2AR%5E2%2B2pi%2ARH
A%5BT%5D=2pi%28R%5E2%2BRH%29
The fraction is then,
F=A%5BL%5D%2FA%5BT%5D
F=%282pi%2ARH%29%2F%282pi%28R%5E2%2BRH%29%29
highlight_green%28F=%28RH%29%2F%28R%5E2%2BRH%29%29