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 = πr^{2}h

1m^{3} = 1000 litres

Radius of tank =

= = 1.75

Let’s take height of tank to be h

Volume of cylinder = πr^{2}h

= × 1.75 × 1.75 × h

9.625 × h m^{3}

Volume in litres = 57750 litres

1 m^{3} = 1000 litres

⇒ Volume = 9.625 × h × (1 m^{3})

= 9.625 × h × 1000 litres

57750 = 9625 × h

h = = 6 m

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