SOLUTION: If the surface area of a right circular cylinder is 12pie and the height is 1, what is its radius?

Question 121083: If the surface area of a right circular cylinder is 12pie and the height is 1, what is its radius?

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
You don't specify whether you want the lateral surface area or the total surface area:

For the lateral surface area:

.

For and , this becomes

Divide both sides by

Therefore, if the lateral surface area is , then the radius is 6

For the total surface area:

, again substituting and , we get:

Again, divide by

Factor

, so or .

We can exclude because we are looking for a positive number measurement of length.

Therefore if the total surface area is , the radius is
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