The time needed for 1.00 [tex]m^{3}[/tex] of water to flow through the pipe is 1,478.16 sec .
What is volume of cylinder?
The volume of a cylinder is the capacity of the cylinder which calculates the amount of material quantity it can hold.
Formula of volume of a cylinder:
V = πr²h
Here,
'r' is the radius of the base (circle) of the cylinder
'h' is the height of the cylinder
According to the question
Water enters a shower head through a pipe of radius 0.00712 m at 4.25 m/s.
As pipe is a cylinder
Therefore
r = 0.00712 m
Speed = height filed by pipe in a second = 4.25 m/s
Now,
Time it take for 1.00 m³ of water to flow through the pipe
Let time needed = t
By using volume of a cylinder
V = πr²h
1 m³ = 3.14 * (0.00712)² * 4.25 * t
1 m³ = 0.000676516768 * t
t = 1,478.16 sec
Hence, The time needed for 1.00 [tex]m^{3}[/tex] of water to flow through the pipe is 1,478.16 sec .
To know more about volume of a cylinder here:
https://brainly.com/question/16134180
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