The Surface Area of the Surface $x ^ { 2 } + y ^ { 2 } = z ^ { 2 }$

Multiple Choice

The surface area of the surface $x ^ { 2 } + y ^ { 2 } = z ^ { 2 }$ lying within $x ^ { 2 } + y ^ { 2 } = 2 x$ is

A) $2 \sqrt { 2 } \pi$
B) $3 \sqrt { 2 } \pi$
C) $4 \sqrt { 2 } \pi$
D) $5 \sqrt { 2 } \pi$
E) $6 \sqrt { 2 } \pi$