Maths-
General
Easy

Question

A Cylindrical container 21 m in radius and 72 m high is full of water. The water is emptied into a rectangular tank 63 m long and 24 m wide. Find the height of the water level in the tank?

hintHint:

The volume of water remains same in both containers. So, we equate the volume of water in both the containers to get the height of water in rectangular tank.

The correct answer is: The height of the water level in the tank is 66 m.


    Explanations:
    Step 1 of 2:
    Let  h be the height of water in the tank.
    Volume of water in cylindrical container = pi left parenthesis 21 right parenthesis squared cross times 72 m3
    Volume of water in rectangular tank =63 cross times 24 cross times h m3
    Step 2 of 2:
    Given, volume water in container = volume of water in tank
    not stretchy rightwards double arrow pi left parenthesis 21 right parenthesis squared cross times 72 equals 63 cross times 24 cross times h
    not stretchy rightwards double arrow h equals 22 over 7 cross times 21 cross times 21 cross times 72 cross times 1 over 63 cross times 1 over 24
    not stretchy rightwards double arrow h equals66 m
    Final Answer:
    The height of the water level in the tank is 66 m.

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