Example 8-3-3 - Maple Help



Chapter 8: Applications of Triple Integration



Section 8.3: First Moments



Example 8.3.3



 a) Obtain the centroid of $R$, the region common to the two cylinders ${x}^{2}+{y}^{2}=1$ and ${x}^{2}+{z}^{2}=1$.
 b) Impose the density $\mathrm{δ}\left(x,y,z\right)=3+x+y+z$ on $R$ and find the resulting center of mass.

(See Example 8.1.8.)