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The portion of a ditch 48m long, 16.5 m wide and 4 m deep that can be filled with stones and earth available during excavation of a tunnel, cylindrical in shape, of diameter 4 m and length 56 m is (Take π = 22/7)
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1 Part 4
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1 Part 2
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2 Part 9
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1 Part 9
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Correct Option: C
Volume of earth and stones taken out from the tunnel = πr²h
= | ![]() | × 2 | × | 2× 56 | ![]() | cu.metre. | |
7 |
= 704 cu. metre
Volume of ditch = (48 × 16.5 × 4) cu. metre = 3168 cu. metre
∴ Part of ditch filled = | = | parts | ||
3168 | 9 |