Question
Find the total mass of a mass distribution of density $\rho$ in region $\mathrm{V}$ of space:$\rho=x^{2}+y^{2}+z^{2}, \quad \mathrm{~V}:$ the sphere of radius $a$, centre at the origin
Step 1
In spherical coordinates, the volume element $dV$ is given by $r^{2}\sin\theta dr d\theta d\phi$. The density function $\rho$ becomes $r^{2}$. Show more…
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Multiple Integration
Integrals for Mass Calculations
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