Answer
The total area is $2\pi r(r+h)$
Work Step by Step
In order to obtain this formula, we consider the bases. Since they are both circles, their combined area is $2\pi r^2$. We now consider the side. Its area equals the circumference of the base circles times the height, which is the same as $2\pi rh$. We add these areas and simplify to find: $ A = 2\pi r^2 + 2\pi rh = 2\pi r(r+h)$