Respuesta :

Answer:

[tex]9\pi[/tex]

Step-by-step explanation:

I don't see a picture, so I'm assuming the cylinder looks like a soup can sitting on a table, resting on it's circular base.

The base of the cylinder is a circle, so you need to find the area of a circle with diameter 6.  Use the formula

[tex]A=\pi r^2[/tex] where r is the radius of the cylinder.  If the diameter is 6, then the radius is 3.

[tex]A=\pi (3)^2 = 9\pi[/tex]