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A student was asked to make a model in his workshop, which shaped like a cylinder with two cones attached at its two ends, using a thin aluminium sheet. The diameter of the model is 3 cm and its length is 10 cm. If each cone has a height of 2cm, find the volume of air contained in the model. (Consider the outer and inner dimensions of the model to be nearly the same).

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Best answer

Given that diameter of cylinder = 3cm

So,  Radius = 3/2 = 1.5 cm

Given: Height of cone = 2cm

and

Height of the cylinder + height of cone + height of cone = 10cm

Height of the cylinder + 2 + 2 = 10

Height of the cylinder = 6cm

So,

Volume of the cylinder = πr2h

= 4.71 cm3

Volume of 1st cone = Volume of 2nd cone = 4.71cm3

So, Total volume of the model

= Volume of cylinder + volume of 1st cone + volume of 2nd cone

= 42.43 + 4.71 + 4.71

= 51.85cm3

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