Answer:
Step-by-step explanation:
I believe you meant "radius of the base is 4 cm."
The vertical sides of this cylinder have the area A = 2πr*h, where r is the radius of the base and h is the height of the cylinder.
Here, that comes out to A = 2π(4 cm)(11 cm) = 88π cm^2.
If the "surface area" is to include the top and bottom as well, add the following to 88π cm²:
2[πr²]  =  2(π[4 cm]² = 32π cm²
Area of side alone:                 88π cm²
Area of top and bottom:        32π cm²
Total surface area:               88π + 32π    cm²