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Question

The picture below shows a petrol tank.

How many litres does it hold?

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Solution

Radius of the hemisphere = 1 m

Radius of the cylinder = 1 m

Height of the cylinder = 6 m

Volume of one hemisphere =

Volume of the two hemispheres = 2 × 2.1 m3 = 4.2 m3

Volume of the cylinder = Base area × height

= π × (1 m)2 × 6 m

= 6 × 3.14 m3

= 18.84 m3

Volume of the petrol tank = Volume of the two hemispheres + Volume of the cylinder

= (4.2 + 18.84) m3

= 23.04 m3

We know that 1 m3 = 1000 L

23.04 m3 = 1000 × 23.04 L = 23040 L

Therefore, the petrol tank can hold 23040 litres of petrol.


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