MathProblemsBank

9.5.11 Volume of a solid

3) Problem: Calculate the volume of the solid \( V \), bounded by the given surfaces: \[ V:\left\{\begin{array}{l} x^{2}+y^{2}=4 \\ z=\sqrt{8-x^{2}-y^{2}} \\ z=0 \end{array}\right. \]