Representation of data — practice question

A uniform object is formed by connecting a solid cone of height $0.8\,\text{m}$ and base radius $0.6\,\text{m}$ to a cylinder. The cylinder has length $0.4\,\text{m}$ and radius $0.5\,\text{m}$. Through the cylinder, a cylindrical hole of length $0.4\,\text{m}$ and radius $x\,\text{m}$ is drilled along the axis of symmetry. A flat face of the cylinder is fixed to the base of the cone so that the object has an axis of symmetry perpendicular to its base and passing through the vertex of the cone. The object is arranged with points on the base of the cone and the base of the cylinder touching a horizontal surface (see diagram). The object is just about to topple.