Q. 84.2( 5 Votes )

The capacity of a cylindrical tank at a petrol pump is 57750 litres. If its diameter is 3.5 m, find the height of cylinder.

Answer :

Given.


Capacity of petrol tank = 57750 litres


Diameter of tank = 3.5 m


Formula used/Theory.


Volume of cylinder = πr2h


1m3 = 1000 litres


Radius of tank =


= = 1.75


Let’s take height of tank to be h


Volume of cylinder = πr2h


= × 1.75 × 1.75 × h


9.625 × h m3


Volume in litres = 57750 litres


1 m3 = 1000 litres


Volume = 9.625 × h × (1 m3)


= 9.625 × h × 1000 litres


57750 = 9625 × h


h = = 6 m


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