Chapter 14.6, Problem 46E

Think About It The center of mass of a solid of constant density is shown in the figure. In Exercises 43-46, make a conjecture about how the center of mass $(\bar{x},\bar{y},\bar{z})$ will change for the nonconstant density $\rho (x,y,z)$. Explain. (Make your conjecture without performing any calculations.)

$\rho (x,y,z)=kx{z}^2{(y+2)}^2$