Centroid of cylindrical cone

by zandria
Tags: centroid, cone, cylindrical
 P: 15 1. The problem statement, all variables and given/known data Determine the centroid of volume for a right circular cone with base diameter of 100mm and an altitude of 200mm. 2. Relevant equations I know that if the my xy-plane is parallel to the base of the cylindrical cone then the x and y coordinates of the centroid must be zero and therefore I only need to find the z coordinate of the centroid. The equation I am using is $$z_c = \frac{1}{M} \int_{body} z dm$$ where M is the total mass and $$dm = \rho dV$$ 3. The attempt at a solution I am trying to use cylindrical coordinates but I think my limits of integration are incorrect. I have tried to solve the integral above with the following limits. $$0<\theta<2\pi$$ [tex]0