Find the center of mass of an inverted cone of height 1.5 m, if the cone's density at the point (x, y) is ρ(y)=y2 kg/m.
The formula given for this problem is rcm=1/M * ∫rdm, where M is total mass, r is position, and m is mass.
The Attempt at a Solution
I've read you can do this with a triple integral instead, but I don't fully understand that. At my university, triple integral is in Calc3, and we only need Calc1 for this physics course.
Something also seems wrong about the question. It wants a specific numeric answer, but don't you have to know the radius to determine the total mass?