Calculate the time required for the radius

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Question: Calculate the time required for the radius of a spherical snowflake to increase from 1 mm to 1.5 cm if it grows by aggregation as it falls through a cloud of small ice crystals present in an amount 1.5 g/m3. Assume the collection efficiency is 95%, the density of the snowflake is 10% of the density of liquid water, and that the difference in the fall speeds of the snowflake and the ice crystals is constant and equal to 2 m/s.

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