📂Mathematical Physics

Differential Volume in Cylindrical Coordinates

Formulas

The infinitesimal volume in spherical coordinates is given by:

$$dV=r^{2}\sin\theta dr d\theta d\phi$$

The infinitesimal surface area on a sphere can be obtained without multiplying $dr$ by:

$$da=\color{blue}{rd\theta} \cdot \color{red}{r\sin\theta d \phi}=r^{2}\sin\theta d\theta d\phi$$