I'm partaking in a competition for bonus in my class this week In which we are asked to create an object less than 5 lbs with a diameter of less that 5 inches to roll down a slope with a top height of 6 inches. I understand through torque calculations that the mass and radius are actually irrelevant and that inertia is the priority. Knowing that a sphere has 2/5 moment inertia, technically I assumed that it would be the best choice but when compared to a rolling pop can, it was slower. So I began to think of disproportionate mass and/or a system with a hollow sphere in which upon the first rotation a mass would fall of a ledge in the hollow sphere and propel the sphere forward...
There must some problem here because I have done this experiment MANY times and a solid sphere ALWAYS beats a ring or disk. The mass does not matter! The radius does not matter! Only the shape matters and two objects with identical shape will roll to the bottom of an incline in the same time.
Now a hollow sphere is a completely different case since a hollow sphere has a much greater moment of inertia than a solid sphere. Make sure your sphere is a solid such as a pool ball or bowling ball!