water flows through a cylindrical pipe of internal diameter 7cm at the rate of 5m per second (the time in minutes ) the pipe would take to filled and empty rectangular tank 4m*3m*2.31m is?
Answers
SOLUTION:-
Given:
Water flows through a cylindrical pipe of internal diameter is 7cm.
So,
Internal radius of the pipe, (r)= d/2
=) 7/2
=) 3.5cm
Convert in metre= 0.035m
Now,
Water inside the pipe forms of cylindrical column.
Speed of water= 5m/s.
Height:
Distance travelled by water in 60second.
Height= Speed × time
Height= 5× 60
Height= 300m
Therefore,
Volume of water that flows from the pipe in 1 min= πr²h
=) 3.14 × 0.035 × 0.035× 300
=) 1.155m³
So,
We know that, 1m³ = 1000litres
=) 1.155m³× 1000l
=) 1155litres
So, volume of water that flows from the pipe in 1 minute = 1155 litres.
Therefore,
⚫Length of rectangular tank, l= 4m
⚫Breadth of rectangular tank, b= 3m
⚫Height of rectangular tank, h=2.31m
Capacity of rectangular tank
Length× breadth× height
=) (4 × 3 × 2.31)m³
=) 27.72m³
Let time taken by the pipe to fill the tank
=) t second.
Volume of water flows from the pipe in 60 second.= 1.155m³
So,
Volume of water flows from the pipe in t second= 1.155/60
=) 0.01925t
According to the question:
=) 0.01925t = 27.72
=) t= 27.72/0.01925
=) t= 144000 seconds
Convert in hours:
=) 144000/3600 hours