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Q.

A rectangular vessel is of 2 mt long, 0.5 mt breadth and 1 mt deep. If water flows in at the rate of 900 cubic cm per sec, then the rate of increase of water level when 25 cm deep is ______ cm/sec

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answer is 0.09.

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Detailed Solution

$l = 2, b = 0.5, h = 1 mt, \frac{d V}{d t} = 900 c . c / \sec, h = 25 cm$

$\Rightarrow V = l b h \Rightarrow \frac{d V}{d t} = l b \frac{d h}{d t}$

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