When a cylindrical capillary glass tube, open at both ends, is vertically inserted in a pool of water, the water level in the tube rises to relative to the water level outside the tube. Consider that the surface tension of water is and that the contact angle of water on glass is . The density of water is , and the local acceleration due to gravity is . The diameter of the capillary tube (in ) is __________ (rounded off to the nearest integer).
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