Problem 4. Each figure is a cylinder. Each has exactly the same mass. The mass is distributed evenly in each system although their densities are different. The first three all have the exact same outer radius. The first two are "cylindrical shells" so the mass is confined between the two indicated radii. The other two are solid cylinders so the mass is present from the middle to the outer edge. Rank these in order of increasing moment of inertia (about axes through their center and perpendicular to the plane of the page.) Explain your answers.

Fig: 1

Fig: 2