A spherical solid, centered at the origin, has radius 100 and mass density $\delta(x,y,z)=106 -\left(x^2+y^2+z^2\right)$. Find its mass.

 $\displaystyle\int \!\! \int \!\!\int \, \delta(x,y,z)\, dV =$ $\displaystyle\int$ $\displaystyle\int$ $\displaystyle\int$ $\hspace{5pt}d\rho d\theta\ d\phi =$

For your answers $\theta$ = theta, $\rho$ = rho, $\phi$ = phi.

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