SOLUTION: A cylindrical can has a surface area of 60in(squared). Express the volume of the can as a function of the radius r.

Question 211692: A cylindrical can has a surface area of 60in(squared). Express the volume of the can as a function of the radius r.
Answer by HyperBrain(694) (Show Source): You can put this solution on YOUR website!
Brace yourself. This will be a bloody problem.
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First hand, you should know the formula for the surface area of a cylinder which is SA=2*pi*r² + 2*pi*r*h
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We are given the value SA=60. So...

Factoring out,

Dividing both sides by ,

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We now subtract to both sides of the equation.

Then, we divide both sides by r.

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Then, we use the formula for volume
So

Then

And so,

That's it.
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