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 8g mass. (Use π = 3.14)


Given:

Height (h1) of larger cylinder = 220 cm


Radius (r1) of larger cylinder = = 12 cm


Height (h2) of smaller cylinder = 60 cm


Radius (r2) of smaller cylinder = 8 cm


Total volume = Volume (Larger cylinder) + Volume (Smaller cylinder)


= πr12h1 + πr22h2


= π (12)2 * 220 + π (8)2 * 60


= π [144 * 220 + 64 * 60]


= 35520 * 3.14


= 111532.8 cm3


Mass of 1 cm3 iron = 8 g


Mass of 111532.8 cm3 iron = 111532.8 × 8


= 892262.4 g


= 892.262 kg


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