Chapter 14.6, Problem 45E

To determine

A conjecture about how the center of mass $\left(\overline{x},\overline{y},\overline{z}\right)$ will change for the non-constant density $\rho \left(x,y,z\right)=k\left(y+2\right)$ by the center of mass $\left(2,0,\frac{8}{5}\right)$ of a solid of constant density.