Question

5 Two cylindrical barrels contain water. Barrel A starts with water at a level of
100 cm. Barrel B starts with water at a level of 150 cm.
The taps on both barrels are opened simultaneously. The tap on barrel A
causes the water level to fall at a rate of 1 cm per minute. The tap on barrel
B causes the water level to fall at a rate of 2 cm per minute,
a) For each barrel, write a formula that shows the water level (Lcm) after
t minutes.
b) Draw a graph of L against t for both barrels on the same axes, showing
the water level for times up to 100 minutes.
c) (i) Use your graph to estimate the time at which the water level in both
barrels is the same.
(ii) Estimate the water level at this time.​

Answer 1

Answer:

orrect option is

A

2.5cm

The height of water in the tank becomes maximum when the volume of water flows into the tank per second becomes equal to the volume flowing out per second.

Volume of water flowing out per second =A  

2gh

​  

 

Volume of water flowing in per second =70cm  

3

/s

∴A  

2gh

​  

=70

1  

2×980×h

​  

=70

h=  

1960

4900

​  

=2.5cm.

Step-by-step explanation: