Compute the Flux Of ${ \vec { F } } = x z ^ { 2 } \vec { i } + y z ^ { 2 } \vec { j } + 4 z ^ { 5 } \vec { k }$

Essay

Compute the flux of ${ \vec { F } } = x z ^ { 2 } \vec { i } + y z ^ { 2 } \vec { j } + 4 z ^ { 5 } \vec { k }$ through the cylindrical surface $x ^ { 2 } + y ^ { 2 } = 16,0 \leq z \leq 5$ oriented away from the z-axis.