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

Multiple Choice

Calculate the area of the surface S.
- $S$ is the portion of the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 100$ between $z = - 5 \sqrt { 2 }$ and $z = 5 \sqrt { 2 }$ .

A) $200 \pi$
B) $10 \sqrt { 2 } \pi$
C) $100 \sqrt { 2 } \pi$
D) $200 \sqrt { 2 } \pi$