9.5.10 Volume of a solid

(3) Problem: Calculate the volume of the solid \( G \), bounded by the given surfaces: \[ \begin{array}{c} G=\left\{(x, y, z): x^{2}+y^{2}-4 x-4 y+z \leq 14\right. \\ \left.z \geq x^{2}+y^{2}\right\} \end{array} \]