1. The problem statement, all variables and given/known data T is the solid bounded by the cylinder y^2+z^2=4 and the planes x=0 and x=3. The mass density at a point P of T is directly proportional to the distance between P and the yz-plane. Find the center of mass of the solid T. 2. Relevant equations y^2+z^2=4 x=0 x=3 3. The attempt at a solution I drew the solid and got a cylinder extending from x=0 (yz-plane) all the way to x=3 with a radius of 2. I also attempted to set up an integral but I think my main problem is figuring out what the density to integrate is. I set up my integral as the integral from x=0 to x=3, the integral from y= -2 to y=2, and the integral from z= -√(4-y^2) to z=√(4-y^2) dz dy dx. Is that correct? I don't know how to go about determining my p(x,y,x) aka my density. Edit: Initially I tried to use x as my density but I couldn't integrate that so I tried y and then z but none of them worked out.