Hi

I wasn´t quite sure where to post this, but it involves integrals so I chosed calculus.

I have attached a picture.

Problem:

Find the z-coordinate of center of mass of the object.

Not really sure how to start.

But wont a differential slice of the cone be something like $\displaystyle \pi \cdot r_{0}^{2} \cdot dz $ ?

But $\displaystyle r_{0}^{2}=x^{2}+y^{2} $ , for each different slice. But the radius $\displaystyle r_{0} $ is obviously changing with z.

Should I try to express x and y as functions of z ?

Thx