
I.10.y Flux of the Vector Field
Calculate the flow of the vector field \ (\ vec {a} \) through the side surface of the cone directly and according to the Gaussa-Ostrogradsky formula: \ [\ vec {a} = x \ vecath}+y \ vec {\ jmath}+z \ vec {k}, \ quadid S: \ left \ {\ begin {array} {l} z = 1- \ sqrt {x^{2}+y^{2}} \\ z \ geq 0, \ quad z \ leq 1 \ end}. \ Right. \]