Example 2.3.14: Volume of a cylinder

The cylinder is $\{0\le \rho \le b,0\le \varphi <2\pi ,0\le z\le h\}$. With $dV=\rho d\rho d\varphi dz$ from Eq. (2.3.26),

the area of the base (Example 2.3.12) times the height.