The Surface Area of the Surface $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 4 z$

Multiple Choice

The surface area of the surface $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 4 z$ lying within $x ^ { 2 } + y ^ { 2 } = 3 z$ is

A) $\pi ( 144 - 72 \sqrt { 3 } )$
B) $12 \pi$
C) $\frac { \pi ( 17 \sqrt { 17 } - 1 ) } { 6 }$
D) $8 \pi \sqrt { 2 }$
E) $2 \pi$