Using the Divergence Theorem, Find the Outward Flux of F $\mathbf { F } = 2 \mathrm { x } ^ { 3 } \mathbf { i } + 2 \mathrm { y } ^ { 3 } \mathrm { j } + 2 \mathrm { z } ^ { 3 } \mathbf { k }$

Multiple Choice

Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.
- $\mathbf { F } = 2 \mathrm { x } ^ { 3 } \mathbf { i } + 2 \mathrm { y } ^ { 3 } \mathrm { j } + 2 \mathrm { z } ^ { 3 } \mathbf { k }$ ; D: the thick sphere $16 \leq \mathrm { x } ^ { 2 } + \mathrm { y } ^ { 2 } + \mathrm { z } ^ { 2 } \leq 25$

A) $\frac { 50424 } { 5 } \pi$
B) $366 \pi$
C) $50,424 \pi$
D) $984 \pi$