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Question -

In one fortnight ofa given month, there was a rainfall of 10 cm in a river valley. If the area ofthe valley is 97280 km2



Answer -

show that the total rainfall was approximately equivalent to the addition to the normal water of three rivers each 1072 km long, 75 m wide and 3 m deep.

Solution:

From the question, it is clear that

Total volume of 3 rivers = 3×[(Surface area ofa river)×Depth]

Given,

Surface area of a river = [1072×(75/1000)] km

And,

Depth = (3/1000) km

Now, volume of 3 rivers =3×[1072×(75/1000)]×(3/1000)

= 0.72 km3

Now, volume of rainfall = total surface area ×total height of rain

= 9.7 km3

For the total rainfall was approximatelyequivalent to the addition to the normal water of three rivers, the volume ofrainfall has to be equal to volume of 3 rivers.

But, 9.7 km3 ≠ 0.72 km3

So, the question statement is false.

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