The formula for the lateral surface area of a cylinder is , where is the radius of the bases and is the height.
Solve for .
Explanation for correct option:
The formula for the lateral surface area of a cylinder is .
Isolate to one side of equation.
Hence, option is correct.
Explanation for the incorrect answer:
The obtained expression is
It is not equal to .
The option is not correct.
The obtained expression is .
It is not equal to .
The option is not correct.
The obtained expression is .
It is not equal to .
The option is not correct.
Therefore, option is correct.