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Triple integral 
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#1
Apr105, 01:48 PM

P: 319

A cone of height h and base radius r has density equal to distance from its base. Find it's center of mass.
How do I write a function for the density? Is it p=hz? And what are the limits of r if I want to do this in cylindrical coordinates? Thanks in adv. 


#2
Apr105, 03:29 PM

P: 2,218

Your density p increases with h
h is along the z axis. x = rcos(theta), y=rsin(theta) z = z. The density increases with base, so assuming the base sits on the xy plane, your density will just be linear to z. p=z. The Your limit for r I think would just be 0,R since it is an undefined base. Same with height, 0,h 


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