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