1. The problem statement, all variables and given/known data Determine the centroid of the conical volume using integration. Height h and radius r. No numbers given. 2. Relevant equations V = ∫dV = (from 0 to h)∫∏r2dz 3. The attempt at a solution I know from looking around in my book where zbar is (xbar at zero and ybar at zero) but need to find it using integration. I am stuck. I know that I need to find r in terms of z so that I can integrate it. I also know that I need to use similar triangles to find the relation between z & r, but what similar triangles would I use? I think one would be the relation between r and h, but what's the relation involving dz?