Calculate the Area of the Surface S $S$ Is the Portion of the Cylinder

Multiple Choice

Calculate the area of the surface S.
- $S$ is the portion of the cylinder $x ^ { 2 } + y ^ { 2 } = 25$ that lies between $z = 3$ and $z = 4$ .

A) $70 \pi$
B) $5 \pi$
C) $35 \pi$
D) $10 \pi$