Respuesta :

Answer:

24 π

Step-by-step explanation:

First step is to determine the radius of the base.  We have the area, so we can easily determine the radius.  The base is a circle, and the area of a circle is given by A = π * r² , so r² = A / π

r² = (36 π) / π = 36

So, r = 6

The lateral surface of a cylinder is given by the following:

L = 2* π * r * 2

Now that we have r, we can easily calculate it:

L = 2 * π * 6 * 2 = 24π, second choice listed