Using the Divergence Theorem, Find the Outward Flux of F $F = \sin y i + x z j + 5 z k$

Multiple Choice

Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.
- $F = \sin y i + x z j + 5 z k$ ; D: the thick sphere $4 \leq x ^ { 2 } + y ^ { 2 } + z ^ { 2 } \leq 9$

A) $135 \pi$
B) $\frac { 76 } { 3 } \pi$
C) $380 \pi$
D) $\frac { 380 } { 3 } \pi$