Multiple Integrals; Coordinate Systems
Let us develop the problem by a simple example. A solid cube, as shown in Fig. 13.1, has a volume V. If the density ρ is constant throughout the entire volume then the mass is given by M = ρV. There are cases, however, in which the density ρ is not constant throughout the volume. The density of the Earth is greater near the center than at the surface. The density of the atmosphere is at a maximum at the surface of the Earth: it decreases exponentially with the altitude.
Unable to display preview. Download preview PDF.