Question

# 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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