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The bottom of a rectangular swimming tan...

The bottom of a rectangular swimming tank is 25 m by 40m. Water is pumped into the tank at the rate of 500 cubic metres per minute. Find the rate at which the level of water in the tank is rising.

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The correct Answer is:
`(dh)/(dt) = 0.5 m//"min"`
`V = (25 xx 40 xx h) rArr (dV)/(dt) = (1000 xx (dh)/(dt))`
`rArr500 = (1000 xx (dh)/(dt)) rArr (dh)/(dt) = 0.5 m//"min"`
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RS AGGARWAL-APPLICATIONS OF DERIVATIVES-Exercise 11A
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