Compute $\iint _ { S } \vec { F } \cdot \vec { n } d S$

Essay

Compute $\iint _ { S } \vec { F } \cdot \vec { n } d S$ where S is the unit sphere, $\vec { n }$ is the unit outward normal, and $\vec { F } ( x , y , z ) = \left\langle x ^ { 3 } , y ^ { 3 } , z ^ { 3 } \right\rangle$