Question

If the Annual stream flow from a 10 Km2 catchment is 107 m3 what would be the corresponding average depth of rainfall in cm? ​

Answer 1

Thus, for example, if the annual stream flow from a 10 km2 catchment is 107 m3, it corresponds to a depth of æ 107 ö çè 10 ´ 106 ÷ø = 1 m = 100 cm.

Answer 2

The corresponding average depth of the rainfall would be 0.107 cm.

Given:

Catchment bed area = 10 km²

Annual streamflow = 107 m³

To find: Average depth of the rainfall in cm

Solution: Let us assume,

Length of catchment bed = l

Breadth of catchment bed = b

Depth of rainfall = h

Now,

Annual streamflow = 107 m³

⇒ Volume of the catchment area = 107 m³

⇒ l × b × h = 107

But area of catchment bed = 10 km²

⇒ l × b = 100000 m²

⇒ 100000 × h = 107

⇒ h = 0.00107 m

⇒ h = 0.107 cm

The average depth of rainfall is 0.107 cm Answer

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