Re: Q: Function for volume calculation

*To*: mathgroup at smc.vnet.net*Subject*: [mg5531] Re: [mg5515] Q: Function for volume calculation*From*: b5hafa at rz.uni-jena.de (Fabian Haas)*Date*: Thu, 19 Dec 1996 01:02:31 -0500*Sender*: owner-wri-mathgroup at wolfram.com

Pierre Awaragi <apierre at EE.McGill.CA> wrote: >Hi, >=20 >Does anyone have an idea on how to calculate the volume restricted by a >surface (or already have build a function for it).=20 >=20 >What I am basically have is a two variables (r and z) in the form F(r, z) >=3D 0 where F is a polynomial of degree 32 for z and degree 16 for r. Z is >the Z-axis variable and r is the radius (x^2 + y^2) and this basically >will have a symmetrical form around the z-axis. In other words, the >polynomial will be a line in the z-r or z-x plane and then this connected >line will revolute around z (a complete circle), I need to calculate its >volume. This is in the purpose of calculating the workspace of a robot.=20 >=20 >Please need help and would appreciate your time. >Can you please send your suggestions by email. >=20 >Thank you. >Pierre Awaragi. Hi, something that might work. There is a method of calculationg the volume of rotated curves, something= like 2*Pi*Intergal or so. It is not terribly sophisticated we had it in sch= ool. There is also a package, I think of Tom Wickham Jones: Mathematic Graphics= which will show the Surface of Revolution. It is available in MathSource.= and might help. =46abian ------------------------------------------------------------------------- Dipl.Biol. Fabian Haas, MPhil Institut f=FCr Spezielle Zoologie und Evolutionsbiologie Erbertstr. 1 D-07743 Jena Deutschland / Germany :-) (-: -------------------------------------------------------------------------