A long cylindrical vessel of glass having a hole of 0.5 mm radius at its bottom is slowly lowered vertically into a deep water bath. If the surface tension of water is \( 7 \times 10^{-2} \, Nm^{-1} \) then the maximum depth the vessel can be submerged without water entering through the hole is: (Acceleration due to gravity \( = 10 \, ms^{-2} \))