We need to find the surface area of the given cylinder.
The surface area of a cylinder is the sum of the areas of the top and bottom bases and of the lateral surface.
The areas of the bases of a cylinder with radius r are, each, given by:

And the area of the lateral surface of a cylinder with a radius r and a height h is given by:

Thus, the total surface area of a cylinder is:

In this problem, we have:

Thus, the surface area is given by:
![2\pi\cdot2\text{ cm}(2\text{ cm}+7\text{ cm})=4\pi(9\text{ cm})\text{ cm}=36\pi\text{ cm^^b2}]()
Answer: 36π cm²