Mensuration (C10)

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 gm mass. (Use π = 3.14)

Answer

Total volume = 3.14 (12)2 (220) + 3.14 (8)2 (60)

= 99475.2 + 12057.6

= 111532.8 cm3

Mass = (111532.8 × 8)/1000

= 892.262 kg