Calculus 3: Triple Integrals (14 of 25) Finding the Center of Mass (Variable Density): Cylindrical

In this video I will find center of mass of a cylinder with variable density using triple integrals in the cylindrical system.

Next video in this series can be seen at:

[dinamustafa]

1) is the formula of the center of the mass has a proof?

2) is the z in density law is the same as the z in center of mass law ?

[ako]

Hi professor, I think it would be better and more correct if you mark the dV as a circular disk centered at r=0. Current dV is misleading .. or at the very least pointless/meaningless.

[Tony-vnzf]

I understand this is the method of finding center of mass but how come the center of mass is not directly at the center of the cylinder?