A certain type of rice has an average grain length and diameter of 6 mmmm and 2 mmmm, respectively (assume that a graine has a form of a cylinder). One cup of this rice, after being cooked, contains about 785 food calories. Assume the cup volume is 240 cm3cm3. How many grains are there in 1 cup of rice? Assume perfect packing of the grains of rice (no unoccupied volume in the cup). Express your answer using one significant digit.

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