A hollow sphere is filled with water weighing as much as the sphere. It then does pure rolling.

The ratio of the \(KE\) of the system when the water is liquid to that when it is solid is of the form \(\frac{a}{b}\) where \(a\) and \(b\) are co prime integers.

Find \(a+b\)

\(\textbf{Assumption}\)

\(\bullet\) The velocity of the system in both the cases is same.

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