## UY1: Centre Of Mass Of A Cone

Find the centre of mass of an uniform cone of height $h$ and radius $R$. Let the density of the cone be $\rho$. It is obvious from the diagram that the x and y components of the centre of mass of a cone is 0: $$\begin{aligned} x_{CM} &= 0 \\ y_{CM} &= 0 \end{aligned}$$ Hence, we just need to find …