Evaluate the Surface Integral of G Over the Surface S $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 9$

Multiple Choice

Evaluate the surface integral of G over the surface S.
-S is the cap cut from the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 9$ by the cone $z = \sqrt { x ^ { 2 } + y ^ { 2 } } ; G ( x , y , z ) = \frac { x z ^ { 2 } } { 27 }$

A) 0
B) $12 \pi$
C) $4 \pi$
D) $6 \pi$