Let $\mathbf { F } ( x , y , z ) = x \mathbf { i } + y \mathbf { j } + z \mathbf { k }$

Multiple Choice

Let $\mathbf { F } ( x , y , z ) = x \mathbf { i } + y \mathbf { j } + z \mathbf { k }$ and S is the boundary of the region enclosed on the side by $x ^ { 2 } + y ^ { 2 } = 9$ , below by z = 0, and above z = 4. Using the Divergence Theorem, $\iint S$$\mathbf { F } \bullet \mathbf { n } d S$ is

A) 72 $\pi$
B) 84 $\pi$
C) 96 $\pi$
D) 108 $\pi$
E) $112 \pi$