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3D volume function


Dear MATHEMATICA whizards,

I have used ImplicitPlot3D in the following context

<< ImplicitPlot3D.m

alpha = 0.2

ImplicitPlot3D[(128*alpha^5/Pi^2)^(1/4)*
           z^2 Exp[-2*alpha*(x^2+y^2+z^2)] == 0.01,
                    {x,-3.0, 3.0}, {y,-3.0,3.0}, {z,-4.0,4.0},
                  PlotPoints->{{4,4,4},{4,4,4},{2,2,2}},
                  AxesLabel->{x, y, z},
                  Axes -> True,
                  Mesh -> True,
                  PlotRange->{{-4,4},{-4,4},{-5,5}}]

which gives me a rather nice surface in three-dimensional
space. Is there a similar package available for calculating
the volume enclosed by such implicitly defined surfaces 
(maybe even called ImplicitVolume3D.m) ?

Thanks for any help or helpful hints on this subject in advance.


Regards


Stefan Schulz
 

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|                              |            Stefan Schulz             |
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