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.
KeywordsVariable Limit Radius Vector Multiple Integral Elemental Area Mass Element
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