Acylindrical vessel open at the top is $20$ $cm$ high and $10$ $cm$ in diameter.Acircular hole whose cross-sectional area $1$ $cm^2$ is cut at the centre of the bottom of the vessel. Water flows from a tube above it into the vessel at the rate $100$ $cm^3s^{^{-1}}$. The height of water in the vessel under steady state is ....... $cm$ (Take $g=1000 $ $ cms^{^{-2}})$
Medium
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