I. 11.y Triple Integrals

Calculate the triple integral: \ [\ iiint_ {v} y \ sqrt {x^{2}+y^{2}} d x d y d z, \] where \ legt \ {\ bein {arry} \ geq z, \ quad y \ gq-x, \ quad z \ geq 0 \\ z^{2} = 4 \ left (x^{2}+y^{2} \ risht), \ quad z = 0 \ End {Array} \ Right.