1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?



Similar Discussions: Volume and Centroid of a Cone
  1. Geodesics on a cone (Replies: 0)

  2. Doughnut Volume (Replies: 0)

Loading...