Example 8-3-7 - Maple Help



Chapter 8: Applications of Triple Integration



Section 8.3: First Moments



Example 8.3.7



 a) Obtain the centroid of $R$, the region enclosed by the surface $\mathrm{ρ}=1-\mathrm{cos}\left(\mathrm{φ}\right)$, where $\left(\mathrm{ρ},\mathrm{φ},\mathrm{θ}\right)$ are the variables in spherical coordinates.
 b) Impose the density $\mathrm{δ}\left(\mathrm{\rho },\mathrm{\phi },\mathrm{\theta }\right)=\sqrt{\mathrm{ρ}}$ on $R$ and find the resulting center of mass.

(See Example 8.1.21.)