1. The problem statement, all variables and given/known data Find the center of mass of the solid figure similar to a cone pointing upward with slope = 1 Note: the density varies with z^2 and the edge has a slope of 1. From symmetry we see that both Xc and Yc are equal to zero. Find the center of mass in the z direction as a function of h by doing the appropriate integral. 2. Relevant equations p(vector r) = z^2 z^ slope = 1 3. The attempt at a solution I'm thinking about using cylindrical coordinates @ radius = sqrt of (1 - h^2) @ Z = 1/V ∫ z dV (lower limit V) @ V = 1/3*pi*r^2*h @ dV = r⊥dr⊥dθ dz. @ ∫ z dV (lower limit V) = ∫ (∫ (∫zr⊥dr⊥) dθ) dz Now im stuck there i dont know if im doing it right or wrong. Any help or idea ?