A vertical cylindrical tank of $$1$$ $$m$$ diameter is filled with water up to a height of $$5$$ $$m$$ from its bottom. Top surface of water is exposed to atmosphere. A hole of $$5$$ $$m{m^2}$$ area forms at the bottom of the tank. Considering the coefficient of discharge of the hole to be unity and the acceleration due to gravity to be $$10\,\,m/{s^2}$$, the rate of leakage of water (in litre/min) through the hole from the tank to the atmosphere, under the given conditions, is ______________