Probability — practice question

A uniform solid cone has a base radius of $0.4\,\text{m}$ and a height of $4.4\,\text{m}$. A uniform solid cylinder has radius $0.4\,\text{m}$ and a weight equal to that of the cone. The cylinder is fixed to the cone so that the cone’s base and one circular face of the cylinder touch, with their circumferences matching exactly. The resulting object is in equilibrium with its circular base resting on a plane that is inclined at $20^\circ$ to the horizontal (see diagram).