MathProblemsBank

i.11.i Triple integrals

Calculate the triple integral: \[ \iiiint_{V} y \sqrt{x^{2}+y^{2}} d x d y d z, \] where \( V:\left\{\begin{array}{l}y \geq z, \quad y \geq-x, \quad z \geq 0 \\ z^{2}=4\left(x^{2}+y^{2}\right), \quad z=0\end{array}\right. \)

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