In a fortnight of a given month, there was a rainfall of 10 cm in a river valley .If the area of the valley is 97280 km2, show that the total rainfall was approximately equivalent to the addition to the normal water of 3 rivers each of 1072 km long , 75 m wide and 3 m deep. (The answer is not given anywhere on toppers site)

Asked by Surabhi Soman | 28th Feb, 2013, 05:52: PM

Expert Answer:

There is some error in this question. The reason is given below.
 
Area of the valley, A = 97280 km2
Level in the rise of water in the valley, h = 10 cm = (10/100000) km = (1/10000) km
Thus, amount of rain fall = Ah = 97280 km2 × (1/10000) km = 9.828 km3
 
Volume of water in each river = length × breadth × height = 1072 km × 75 m × 3 m = 1072 km × (75/1000) km × (3/1000) km = 0.2412 km3
 
Thus, the volume of water in three rivers = 3 × 0.2412 km3 = 0.7236 km3 ? 9.828 km3.
This shows that the amount of rain fall is not equal to the amount of water in three rivers.
 
Thus, the question has some error.

Answered by  | 28th Feb, 2013, 09:42: PM

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