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Question

A cylindrical tube open at both ends is made of metal. The internal diameter of the tube is 11.2 cm and its length is 21 cm. the metal everywhere is 0.4 cm thick. The volume of the metal is -


A

280.52 cm3

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B

306.24 cm3

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C

310 cm3

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D

316 cm3

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E

327 cm3

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Solution

The correct option is B

306.24 cm3


Internal radius = (11.22)cm = 5.6 cm, external radius = (5.6+0.4) cm = 6 cm.

Volume of metal = 227×[(6)2(5.6)2]×21 cm3= (66 × 11.6 × 0.4) cm3= 306.24 cm3.


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