Let $\mathbf { F } ( x , y , z ) = x ^ { 2 } \mathbf { i } + y ^ { 2 } \mathbf { j } + z ^ { 2 } \mathbf { k }$

Multiple Choice

Let $\mathbf { F } ( x , y , z ) = x ^ { 2 } \mathbf { i } + y ^ { 2 } \mathbf { j } + z ^ { 2 } \mathbf { k }$ 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) $144 \pi$
B) $72 \pi$
C) $28 \pi$
D) $20 \pi$
E) $18 \pi$