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## Homework Statement

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)=y

^{2}kg/m.

## Homework Equations

The formula given for this problem is

**r**

_{cm}=1/M * ∫

**r**

*dm, where M is total mass,*is position, and m is mass.

**r**## 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?