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What part of a ditch 48 m long, 16.5 m broad and 4 m deep can be filled by the earth got by digging a cylindrical tunnel of diameter 4 m and length 56 m ?
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- 1/9
- 2/9
- 7/9
- 8/9
- 1/9
Correct Option: B
Volume of the earth dugout as a tunnel = πr2h = (22/7) x 2 x 2 x 56 = 704 m3
Volume of the ditch = (48 x 33)/(2 x 4) = 24 x 33 x 4 = 3168 m3
∴ Part required = 704/3168 = 2/9
