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MathGroup Archive 1996

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Re: Q: Function for volume calculation

  • To: mathgroup at
  • Subject: [mg5570] Re: [mg5515] Q: Function for volume calculation
  • From: Andrei Constantinescu <constant at>
  • Date: Fri, 27 Dec 1996 01:58:52 -0500
  • Sender: owner-wri-mathgroup at

 It depends on the accuracy you need. A pretty rough procedure would be:

   1. Find the F(r,z) = 0 line with ContourPlot

   2. Extract the Line object from the ContourGraphics using Parts.

   3. Create an InterpolatingFunction of the type:

       r = f[z]

   4. compute the volume:

     2 Pi Integrate[ r , {r, 0, f[z]} , {z, 0, zmax} ]

 Hope that helps !


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