Water flows in 1 sec = 80 cm
Water flows in 1/2 hour = 80 x 3600/2 = 144000 cm
[As 1 hour = 3600 seconds]
For cylindrical pipe,
Base radius, r = 1 cm
Height, h = water flowed in half hour = 144000 cm
As we know,
Volume of cylinder = πr2h
Where r is base radius and h is height of cylinder.
Volume of water flowed through pipe = π(1)2(144000) = 144000π cm3
For cylindrical tank,
Base radius, r = 40 cm
Let the height of water raised be h cm
As we know,
Volume of cylinder = πr2h
Where r is base radius and h is height of cylinder.
Volume of water in tank = π(40)2 h
144000π = 1600πh
h = 90 cm
Height of water raised in tank is 90 cm.