Consider a cylinder of height H and radius R. The side wall of container has very small holes which are uniformly distributed to its entire surface area. The number of holes are very large and occupying a fraction k = 0.003 of the entire area of the wall. Water is being poured to container at a constant rate Q. To maintain the water level at height H/2, the value of Q is  $\frac{\pi }{100\lambda }R\sqrt{g}{H}^{3/2}$ . Find the value of  $\lambda$ . (Assume torricelli’s law is valid)