Question
Thu February 28, 2013

# 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)

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 Ã— (1/10000) km = 9.828 km3

Volume of water in each river = length Ã— breadth Ã— height = 1072 km Ã— 75 m Ã— 3 m = 1072 km Ã— (75/1000) km Ã— (3/1000) km = 0.2412 km3

Thus, the volume of water in three rivers = 3 Ã— 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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