If three pipes of diameters 4mm 5mm and 8mm are having water flow through them, which pipe can fill a tank faster, considering highest flow rate for the lowest diameter?

Question

Accepted Answer

The pipe with the highest flow rate for the lowest diameter (4mm) will fill the tank fastest.

The pipe with the smallest diameter (4mm) will have the highest flow rate for water flow.
Smaller diameter pipes have higher flow rates due to higher velocity of water flow.
Therefore, the 4mm diameter pipe will fill the tank fastest compared to the 5mm and 8mm diameter pipes.

Accepted Answer

Given the diameters of the pipes (4 mm, 5 mm, and 8 mm), we can calculate the cross-sectional areas using the formula for the area of a circle:

𝐴
=
𝜋
𝑟
2
A=πr 
2

Where:

𝐴
A is the cross-sectional area of the pipe, and
𝑟
r is the radius of the pipe.
Let's denote the flow rates for each pipe as 
𝑄
1
Q 
1
​
 , 
𝑄
2
Q 
2
​
 , and 
𝑄
3
Q 
3
​
  respectively. Since we want to consider the highest flow rate for the lowest diameter pipe, we need to maximize the product of the cross-sectional area and the velocity for each pipe.

If three pipes of diameters 4mm 5mm and 8mm are having water flow through them, which pipe can fill a tank faster, considering highest flow rate for the lowest diameter?

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