A rectangular water tank of base  11m×6m   contains water up to a height of 5m. 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 in cm.

# A rectangular water tank of base    contains water up to a height of 5m. 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 in cm.

1. A
785
2. B
857
3. C
758
4. D
578

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### Solution:

We will first refer to the figures given below for better understanding.
Let us first calculate the volume of water in the rectangular tank.
Length of rectangular tank = 11 m
Breadth of rectangular tank = 6 m
Height of rectangular tank = 5 m
Volume of rectangular tank

Radius of cylindrical tank = r = 3.5 m
Height of cylindrical tank = h
Volume of cylindrical tank   .

As we know that the volume of water remains the same we can equate the equations (1) and (2).
On equating we get,

We get the height of the cylindrical tank as 8.57 m.

Hence, the height of water level in a cylindrical tank is 857 cm.

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