Question

why in ice hydrogen bonding occurs for a long range but in water short range

Answer 1

Note that water is far from being the only compound that has a liquid with higher density than the solid at the melting point. Elements such as Si, Ge, Sb, and Bi do as well, and they certainly have nothing to do with hydrogen bonding. The only real certainty is that a first order phase transition must have a volume change..
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