A circular water tank of $2 \mathrm{~m}$ diameter has a circular orifice of diameter $0.1 \mathrm{~m}$ at the bottom. Water enters the tank steadily at a flow rate of 20 litre/s and escapes through the orifice. The coefficient of discharge of the orifice is 0.8 . Consider the acceleration due to gravity as $9.81 \mathrm{~m} / \mathrm{s}^{2}$ and neglect frictional losses. The height of the water level (in $\mathrm{m},$ round off to two decimal places) in the tank at the steady state, is

A circular water tank of $2 \mathrm{~m}$ diameter has a circular orifice of diameter $0.1 \mathrm{~m}$ at the bottom. Water enters the tank steadily at a flow rate of 20 litre/s and escapes through the orifice. The coefficient of discharge of the orifice is 0.8 . Consider the acceleration due to gravity as $9.81 \mathrm{~m} / \mathrm{s}^{2}$ and neglect frictional losses. The height of the water level (in $\mathrm{m},$ round off to two decimal places) in the tank at the steady state, is

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