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Question
An iron pole consisting of a cylindrical portion 110 cm high and of base diameter 12 cm is surmounted by a cone 9 cm high. Find the mass of the pole, given that 1 cm3 of iron has 8 gram mass approximately. (Use : π = 355/115)
Solution
Volume of cylinder
`=pir^2 h`
`=22/7 xx 6 xx 6 xx 110`
`=12445. 714 cm^3`
Volume of cone
`=1/3pir^2h`
`=1/3 xx 22/7 xx 6 xx 6 xx 9`
`=339.429 cm^3`
Therefore,
Total volume
`=12445.714 +339.429`
`=12785 . 123 cm^3`
Therefore,
Mass of the pole
` =8 xx 12785.143 cm^3`
`= 102281.12 cm`
`= 102.28kg`
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