$\"\"$

A cylindrical tank holds 100000 gallons of water which can be drained at the bottom of tank in an hour.

Volume $\"\"$ of remaining water in the tank by Torricellis law is given by,

$\"\"$ , $\"\"$ .

The derivative $\"\"$ is the instantaneous rate of change of $\"\"$ with respect to $\"\"$ at $\"\"$ .

$\"\"$

Find the rate of change in volume of remaining water with respect to $\"\"$ which is given by $\"\"$ .

$\"\"$

Instantaneous rate of change in volume $\"\"$ with respect to $\"\"$ is given by $\"\"$ gallons/minute.

Find $\"\"$ for various instants at $\"\"$ and $\"\"$ min.

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From the table it is to said that the flow rate is Slow down as the time increases and flow rate is maximum at beginning and least at the ending.

Instantaneous rate of change in volume $\"\"$ is $\"\"$ gallons/minute.

Flow rate is maximum at beginning and least at the ending.