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Homework Help: Volume and Centroid of a Cone

  1. Sep 19, 2012 #1
    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?
  2. jcsd
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