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Cone's volume, not seeing a step posted elsewhere

  1. Jan 29, 2009 #1
    Hey all,

    can you check out this site

    http://www.mathisfunforum.com/viewtopic.php?pid=49738

    In the very first line of the integral, I'm not sure why it's squared, or why the x is there. Can someone explain this?
    Clearly, its correct because the correct answer is derived lol.

    Thanks!
     
  2. jcsd
  3. Jan 29, 2009 #2

    tiny-tim

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    Hi Damascus Road! :smile:

    The cone is sliced into discs of thickness dx at height x.

    So the radius of each disc is x/h times the base radius (r),

    and the volume of the disc is that squared times π times dx.
     
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