A reservoir discharge water through sluices as a depth h meter below the water surface, has a surface area A for various values of h as given below. h (meter) 10 11 12 13 14 A (sq. metre) 950 1070 1200 1350 1530 If t denotes time in minutes, the rate of surface area is given by . Estimate the time taken for the water level to fall from 14 to 10 meters above the sluices
Unitary Method
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A reservoir discharge water through sluices as a depth h meter below the water surface, has a surface area A for various values of h as given below.
|
h (meter) |
10 |
11 |
12 |
13 |
14 |
|
A (sq. metre) |
950 |
1070 |
1200 |
1350 |
1530 |
If t denotes time in minutes, the rate of surface area is given by
. Estimate the time taken for the water level to fall from 14 to 10 meters above the sluices.
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