in one fortnight of a given month ,there was a rainfall of 10cm in a river valley .if the area of the valley is 97280 km sq. ,show that the total rainfall was approx. equivalent to the addition to the normal water of the three rivers each ,1072 km long ,75m wide and 3m deep.
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here is d soln bro
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
in 14 days 9.828km3 in 1 day 0.702km3
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
and amt of rainfall= 0.702 km3 which is approximately equal
This shows that the amount of rain fall is approximately equal to the amount of water in three rivers.
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