I. 10.15 Flux of the Vector Field

Condition: Find the flow of vector \ (a = i y^{2}+j x^{2}+k z^{2} \) through the outer side of the cylinder \ (x^{2}+y^{2} = a^{2} \), located in the first octanta between the planes \ (z = 0, z = a \), \ (A> 0 \).