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