SOLUTION: Given that the volume of a cylinder is 164, and the radius of the cylinder is twice the height, find the surface Area of the cylinder. I tried r=7.227 to get pi(7.227)^2 to ge

Question 842348: Given that the volume of a cylinder is 164, and the radius of the cylinder is twice the height, find the surface Area of the cylinder.
I tried r=7.227 to get pi(7.227)^2 to get 164 but that did not work.
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
This analysis assumes just the wall cylinder without any top or bottom.

r=2h, r is radius and h is height or tallness.
Volume is

This means

The surface area of just the tube part without any top or bottom:
which is circumference by "length".
Substitute the values found.
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Those Substitutions:

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A separate substep,
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Surface area may be represented
...

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