The object shown in the diagram below consists of a cylinder of mass \(100\,\text{kg}\) and radius \(25.0\,\text{cm}\) connected by four thin rods, each of mass \(5.00\,\text{kg}\) and length \(0.75\,\text{m}\), to a thin outer ring of mass \(20.0\,\text{kg}\). A small chunk of metal of mass \(1.00\,\text{kg}\) is welded to the outer ring. Determine the moment of inertia of the entire assembly about the center of the inner cylinder, treating the metal chunk as a point mass. Hint: The moment of inertia of a disk about its center is \(\dfrac{1}{2} M R^2\), a thin rod about its center is \(\dfrac{1}{12}ML^2\), and a thin hoop about its center is \(I = MR^2\).