Evaluate the Surface Integral of G Over the Surface S $\mathrm { S }$

Multiple Choice

Evaluate the surface integral of G over the surface S.
- $\mathrm { S }$ is the portion of the cone $\mathrm { z } = 3 \sqrt { \mathrm { x } ^ { 2 } + \mathrm { y } ^ { 2 } } , 0 \leq \mathrm { z } \leq 3 ; \mathrm { G } ( \mathrm { x } , \mathrm { y } , \mathrm { z } ) = \mathrm { z } - \mathrm { y }$

A) $\frac { 2 } { 9 } \sqrt { 10 } \pi$
B) $\frac { 2 } { 3 } \sqrt { 10 } \pi$
C) $2 \sqrt { 10 }$
D) $2 \sqrt { 10 } \pi$