Question
Thu February 28, 2013 By: Surabhi Soman
 

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)

Expert Reply
Thu February 28, 2013
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.
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