A certain type of rice has an average grain length and diameter of (6 mathrm{~mm}) and (2

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A certain type of rice has an average grain length and diameter of \(6 \mathrm{~mm}\) and \(2 \mathrm{~mm}\), respectively. One cup of this rice, after being cooked, contains about 785 food calories.

(a) How many grains are there in 1 cup of rice?

(b) How many calories are there in one grain?

(c) How many cups of uncooked rice are needed to provide 2000 food calories to each of four adults?

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