Let $\mathbf { F } ( x , y , z ) = x ^ { 2 } z ^ { 2 } \mathbf { i } - 2 y \mathbf { j } + 3 x y z \mathbf { k }$

Multiple Choice

Let $\mathbf { F } ( x , y , z ) = x ^ { 2 } z ^ { 2 } \mathbf { i } - 2 y \mathbf { j } + 3 x y z \mathbf { k }$ and S is the region bounded by and $x = 0 , x = 3 \text {, }$ . Using the Divergence Theorem, $\iint S$$y = 0 , y = 3$ is

A) $\frac { 1485 } { 4 }$
B) $\frac { 1485 } { 3 }$
C) $\frac { 1485 } { 5 }$
D) $\frac { 1485 } { 6 }$
E) $\frac { 1485 } { 8 }$