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.

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Question 843139: 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.

Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
JUST the tubular surface, no top or bottom disk:

h for height, r for radius,
is the surface area, and .
Surface Area is then .

The volume:




-----useful for the "height"

Use the value for h as it is in the surface area formula shown green highlighted.
Surface Area:
Either way you can finish the computation using a calculator or some other reasonable approximation.

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