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 = 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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