A farmer connects a pipe of internal diameter 20 cm from a canal into a cylindrical tank in her field, which is 10 m in diameter and 2 m deep. If, water flows through the pipe at the rate of 3 km/h, in how much time will the tank be filled?
Solution:
Let cylindrical tank be filled in x hours
Diameter of pipe
cm
Radius of pipe
cm
m
Speed of water flowing through pipe
km/h
m/h
Volume of water flowing through pipe in 1 hour
Volume of water flowing through pipe in x hours
Diameter of cylindrical tank
m
Radius of cylindrical tank
m
Height of cylindrical tank
m
Volume of cylindrical tank
According to given condition we have:
Volume of water flowing through pipe in x hours =Volume of cylindrical tank
hrs
minutes
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