A rectangular water tank of base contains water upto a height of 5 m. If the water in the tank is transferred to a cylindrical tank of radius 3.5 m, find the height of the water level in the tank.

Volume of water in tank = volume of cuboidal tank up to a height of 5 m


For cuboidal tank


Length, l = 11 m


Breadth, b = 6 m


Height, h = 5m


We know that,


Volume of tank = lbh


Where, l, b and h are the length, breadth and height of tank respectively


Volume of water = 11(6)(5) = 330 m3


Also,


Let the cylindrical tank is filled up to a height of h m


Base radius of cylindrical tank, r = 3.5 m


As we know,


Volume of a cylinder = πr2h


Where r is base radius and h is the height of cylinder


Volume of water in cylindrical tank = π(3.5)2h



h = 8.57 m


So, cylindrical tank is filled up to a height of 8.57 m


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