# 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?

Formula used/Theory.

Volume of Cylinder = πr2h

Volume of hemisphere = πr3

1 cm3 = 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

= πr2h + πr3

= πr2[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 cm3

For Volume in litres

1 cm3 = litres

1446.98 cm3 = 1446.98 × litres

1.44698 litres

1.45 litres (approx.)

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