Plz solve

Asked by nik1993 | 10th Mar, 2009, 01:56: PM

Expert Answer:

This question has a typographical error. In order to prove the required result, the area of valley should be

7236 km2

Solution:

Assume the rivers to be cuboidal,

Volume of water in river-1 = length x breadth x depth

                                               = 1072 x 103 x 75 x 3 m3 = 2412 x 105 m3

All three rivers have equal amount of water. Therefore,

Total volume of water in the river = 3 x (2412 x 105) m3 =7236 x 105m3 .....................(1)

Area of valley = 97820 km2= 97820 x 106 m2

If the rain fall is of 10 cm, the volume of water in the valley due to rainfall = Area of the valley x rainfall

                                                              = 97820 x 106 x 10 x 10-2m3

                                                             = 97820 x 105 m3                           .............................(2)

The volume of water for the two cases are different (from eqn (1) & (2)).

Therefore, prove accordingly.

 

 

Answered by  | 12th Mar, 2009, 02:36: PM

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