How to solve this Rotational ysis Prob?

A uniform spherical shell of m M = 6.60 kg and radius R = 0.320 m can rotate about a vertical axis on frictionless bearings (Fig. 10-44). A mless cord pes around the equator of the shell, over a pulley of rotational inertia I = 0.140 kg�m2 and radius r = 0.0560 m, and is attached to a small object of m m = 3.80 kg. There is no friction on the pulley's axle; the cord does not slip on the pulley. What is the speed of the object when it has fallen a distance 1.15 m after being released from rest? Use energy considerations.