A certain type of rice has an average grain length and diameter of 6 mm and 2 mm

Question

A certain type of rice has an average grain length and diameter of 6 mm and 2 mm, respectively (assume that a graine has a form of a cylinder). One cup of this rice, after being cooked, contains about 755 food calories. Assume the cup volume is 220 cm3 . A- How many calories are there in one grain? B- How many calories are there in one grain? Express your answer using one significant figure. C- How many cups of uncooked rice are needed to provide 2000 food calories to each of four adults? Express your answer using three significant figures.

Explanation / Answer

Here ,

volume of 1 grain of rice , V = pi * r^2 * h

V = 3.141 * (0.001)^2 * 6 *10^-3

V = 1.885 *10^-8 m^3

Now , calories in 1 grain = 1.885 *10^-8 * 755/(220 *10^-4)

calories in 1 grain = 6.47 *10^-4 Cal

B)

caolories in 1 grain is 6.47 *10^-4 Cal

c)

for 2000 Calories

Number of cups = 2000/755

Number of cups = 2.65

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