Find the Flux of the Curl of Field F Through $\mathbf { F } = x ^ { 2 } \mathbf { i } + 6 x \mathbf { j } + 9 \mathbf { k } ; \mathrm { S }$

Multiple Choice

Find the flux of the curl of field F through the shell S.
- $\mathbf { F } = x ^ { 2 } \mathbf { i } + 6 x \mathbf { j } + 9 \mathbf { k } ; \mathrm { S }$ is the upper hemisphere of $\mathrm { x } ^ { 2 } + \mathrm { y } ^ { 2 } + \mathrm { z } ^ { 2 } = 16$

A) $16 \pi$
B) 16
C) $96 \pi$
D) $\pi$