The formula for a cylinder's surface area is, as I said before : \(\\ 2\pi rh+2\pi { r }^{ 2 }\) in this question, h=x
Let's plug the values and solve :
\(2\pi rh+2\pi { r }^{ 2 }\\ \\ 2\cdot \pi \cdot 5\cdot 12+2\cdot \pi \cdot { 5 }^{ 2 }=2\cdot \pi \cdot 60+2\cdot \pi \cdot 25=120\pi +50\pi =170\pi \quad square\quad units\\ Answer\quad is\quad A\)