I have been struggling with this textbook problem for some time now and thought I'd seek assistance. The question asks me to find the centroid of a solid region bounded by these two equations:
$$z = \frac{h}{r} \sqrt{x^2 + y^2}, $$ and $$z = h $$ I noticed the conical shape, and that $\bar x$ = $\bar y$ = $0$. What I struggle with is setting up the limits of integration properly? Is a polar coordinate system worth it in the context of this problem? (dzdrd$\theta$)
