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 $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 4$ . Using the Divergence Theorem, $\iint S$$\mathbf { F } \bullet \mathbf { n } d S$ is

A) $24 \pi$
B) $28 \pi$
C) $32 \pi$
D) $42 \pi$
E) $48 \pi$