
i.11.4 Triple integrals
condition: Find the moment of inertia about the axis \( O Z \) of a homogeneous body \( V \) with density \( \rho \), where: \[ V:\left\{\begin{array}{l} z=0, z=4-y^{2} \\ x=y^{2}, x=y^{2}+1 \end{array} \quad \rho=1\right. \]