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| PAGE: 113 | SET: Exercises | PROBLEM: 46 |
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.
|
 |
 |
| 0 |  |
 |
| 10 |  |
 |
| 20 |  |
 |
| 30 |  |
 |
| 40 |  |
 |
| 50 |  |
 |
| 60 |  |
 |
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.
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