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Question 6
A solid iron pole consists of a cylinder of height 220 cm and base diameter 24 cm, which is surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole, given that 1 cm3 of iron has approximately 8 g mass.

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Solution

Radius of bigger cylinder = 12 cm, height of bigger cylinder = 220 cm
Radius of smaller cylinder = 8 cm, height of smaller cylinder = 60 cm
Volume of bigger cylinder
=πr2h
=π×122×220
=31680 π cm3
Volume of smaller cylinder
=πr2h
=π×82×60
=3840π cm3
Total volume
=31680π+3840π
=35520π cm3
Mass=Density×Volume
=8×35520π
=892262.4 gm (1000gm =1kg)
=892.3 kg

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