The top of a water tank is open to air and its water level is maintained. It is giving out $0.74\,m^3$ water per minute through a circular opening of $2\,cm$ radius in its wall. The depth of the centre of the opening from the level of water in the tank is close to........ $m$
JEE MAIN 2019, Medium
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$\frac{{dv}}{{dt}} = Av \Rightarrow \frac{{dv}}{{dt}} = A\sqrt {2gh} $
$ \Rightarrow \frac{{0.74}}{{60}} = \left( {3.14} \right){\left( {\frac{2}{{100}}} \right)^2}\sqrt {2\left( {9.8} \right)h} $
$ \Rightarrow h = 4.92\,m$
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