MathProblemsBank

9.5.2 Volume of a solid

3) Problem: Calculate the volume of the solid \( V \), bounded by the given surfaces: \[ V:\left\{\begin{array}{c} x^{2}+y^{2}=3 y \\ x^{2}+y^{2}=6 y \\ z=0, \quad z=\sqrt{x^{2}+y^{2}} \end{array}\right. \]