An iron pipe is 42 cm long and its experior radius is 4 cm If the thickness of the pipe is 1 cm and iron weights 100g/cm3 the weight of the pipe is
A
92.4 kg
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B
211.2 kg
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C
189.34 kg
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D
118.8 kg
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Solution
The correct option is B118.8 kg l=42 cm r=4 cm thickness=1 cm weight of iron=100g/cm3 Volume of cylinder=πr2h ∴ Volume of iron pipe=π(4+1)242−π×42×42 =π×42(25−16) =227×42×9=1188cm3 Weight of 1 cm3 iron=100g ∴ Weight of 1188 cm3 iron=1188×100=118800g=118.8kg