Q. 74.0( 4 Votes )

# How many litres of petrol will be contained in a closed cylindrical tank with hemisphere at one end having radius 4.2 cm and total height 27.5 cm?

Answer :

Formula used/Theory.

Volume of Cylinder = πr^{2}h

Volume of hemisphere = πr^{3}

1 cm^{3} = litres

⇒ As we put Cylinder on hemisphere

The circle part of both cylinder and hemisphere will attach

∴ Volume of container is sum of volume of both cylinder and hemisphere

Volume of container = Volume of cylinder + Volume of Hemisphere

= πr^{2}h + πr^{3}

= πr^{2}[h + r]

As height of hemisphere is equal to radius of hemisphere

Then;

Height of cylinder = Height of Container – Radius

= 27.5cm – 4.2cm

= 23.3 cm

Volume of container = × 4.2 × 4.2 × [23.3 + × 4.2]

= 22 × 0.6 × 4.2 × [23.3 + 2.8]

= 22 × 0.6 × 4.2 × [26.1]

= 1446.98 cm^{3}

For Volume in litres

1 cm^{3} = litres

1446.98 cm^{3} = 1446.98 × litres

1.44698 litres

1.45 litres (approx.)

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