Answer:
It takes 100 minutes to fill the tank.
Step-by-step explanation:
Let the length of the pipe used for filling the tank be h
Then
Volume of the pipe = volume of the tank
Step 1: Finding the volume of the pipe
The pipe is in cylindrical form with height h and diameter 20m
The volume of the pipe =
Where r is the radius of the pipe
r =
r =
r = 10cm =
The volume of the pipe
=>
=>
=> -----------------------------------(1)
Step 2: Finding the volume of the tank
The volume of the tank =
Where r is the radius of the tank
r =
r =
r = 5
The volume of the pipe
=>
=> -------------------------------------(2)
Equating (1) and (2)
=
= 50
h = 50 X 100
h =5000m =5km
The flow rate of water through the pipe = 3 km/hr
time taken to travel 3 km = 1 hours
so time taken 1 km = hours
To Travel 5 km
=> hours
=> hours
converting into minutes
=>
=>
=> 100 minutes