# Water in a sphere..

Classical Mechanics Level pending

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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