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This seems to be an application of the parallel axis theorem. From Wikipedia's http://en.wikipedia.org/wiki/Parallel_axis_theorem: Suppose a body of mass $m$ is made to rotate about an axis $z$ passing through the body's center of mass. The body has a moment of inertia $I_\textrm{cm}$ with respect to this axis. The parallel axis theorem states that ...


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There are two MR^2 terms added. Once for the shell (the parallel axis theorem requires this additional term, since the torques are being written about an axis passing through the point of contact), and once for the fluid (since it is frictionless, the fluid does not rotate, behaves as point mass, thus only MR^2 suffices).



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