Textbook Problem

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 $\left(\bar{x},\bar{y},\bar{z}\right)$ will change for the nonconstant density $\rho (x,y,z)$ Explain. (Make your conjecture without performing any calculations.)

$\rho (x,y,z)=kx$