After time t, the following is the relation that represents the volume V of water that remains in the tank as per Torricelli’s Law.

Volume
As the water is draining from the tank, calculate its rate after (a)5min and (b)10min.

Time
Also, find the time at which the rate of water draining from the tank is fastest and slowest.
The aim of this article is to find the rate of water draining from the tank at a certain instance of time and find the time of fastest and slowest drain rate.
The basic concept behind this article is the use of Torricelli’s Equation to calculate the rate of flow.
The Rate of Flow of a given volume

Torricelli’s Law.
Expert Answer
Given that:
Torricelli’s Equation for the Volume of Water remaining in the Tank is:
To calculate the rate at which water is draining at different instances of time
The negative sign indicates that the rate at which the water is draining is decreasing with time.
To calculate the rate at which water is draining from the tank after
To calculate the rate at which water is draining from the tank after
To calculate the time at which rate of water draining from the tank is fastest or slowest, take the following assumptions from the given minimum and maximum range of
For 1st assumption of
For 2nd assumption of
Hence, it proves that the rate at which the water is draining is fastest when
Numerical Result
The rate at which water is draining from the tank after
The rate at which water is draining from the tank after
The fastest rate of the drain is at the start when
Example
Water is draining from a tank containing
Calculate its rate of drain after
Solution
To calculate the rate at which water is draining from the tank after