A high CoR golf ball having predetermined moment of inertia is provided. A portion of the golf ball preferably contains substantially no filler, which contributes to the increased resilience of the ball. In accordance to one aspect of the invention, the portion with substantially no filler is an intermediate layer of the ball, and preferably is the outer core layer of the ball. The remaining portions of the ball preferably contribute to the moment of inertia of the ball. To craft a low moment of inertia ball, the innermost core should have a high specific gravity. Additionally, the outermost layers of the ball may have a low specific gravity. Conversely, to craft a high moment of inertia ball, the ball should have a thin dense layer positioned radially outward from its centroid radius. Additionally, the innermost core may have a low specific gravity. To craft a mid range moment of inertia ball, the ball may comprise a high specific gravity inner core and a thin dense layer. Preferably, the portion with substantially no filler is relatively larger than other portions of the ball.