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Homework Help: Software to graph a volume (solid) of revolution?

  1. Nov 27, 2009 #1
    1. The problem statement, all variables and given/known data
    I am writing a paper on volumes of revolution. Unfortunately I haven't been able to find any suitable programs to represent them graphically. (I apologize if I am posting in the wrong forum.)

    2. Relevant equations
    Graphing the volume of revolution of, say, [tex]\pi\int_{0}^{1}\left(x^{2}\right)^{2}\, dx[/tex]

    3. The attempt at a solution
    I tried using Gnuplot, but wasn't able to graph a volume of revolution.
  2. jcsd
  3. Nov 27, 2009 #2


    Staff: Mentor

    You didn't say what you entered in Gnuplot as the equation to be graphed. For your problem, you want to graph the portion of the paraboloid z = x2 + y2 that is bounded by the planes z = 0 and z = 1.
  4. Nov 27, 2009 #3
    Thanks for the response. I had tried to literally graph [tex] z=\pi\int_{0}^{1}\left(x^{2}\right)^{2}\, dx[/tex] ... but I hadn't realized that that is a constant. (doh!)

    Anyway, after seeing the output from Gnuplot, I think I'll just eschew the use of graphs of volumes of revolution in my paper.
    Last edited: Nov 27, 2009
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