9.5.3 Volume of a solid

(3) Problem: Calculate the volume of the solid \( V \), bounded by the given surfaces: \[ V:\left\{\begin{array}{c} x=y^{2}-2, \quad x=-4 y^{2}+3 \\ z=\sqrt{16-x^{2}-y^{2}}+2, \quad z=\sqrt{16-x^{2}-y^{2}}-1 \end{array}\right. \]