An inverted bell lying at the bottom of a lake $ 47.6 m$ deep has $50$ $cm^3$ of air trapped in it. The bell is brought to the surface of the lake. The volume of the trapped air will be ......... $cm^3$ (atmospheric pressure $ = 70\,cm$ of $Hg$ and density of $Hg = 13.6$ $cm^3$)
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