A wooden cylinder of diameter 4 r , height h and density $\rho / 3$ is kept on a hole of diameter $2 r$ of a tank, filled with water of density $\rho$ as shown in the figure. The height of the base of cylinder from the base of tank is H .
If level of liquid starts decreasing slowly when the level of liquid is at a height $\mathrm{h}_1$ above the cylinder, the block just starts moving up. Then, value of $h_1$ is
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