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  1. 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)
    1. 1
      Part
      4

    2. 1
      Part
      2

    3. 2
      Part
      9

    4. 1
      Part
      9
Correct Option: C

Volume of earth and stones taken out from the tunnel = πr²h

2
=
22
× 2 × × 56cu.metre.
7

= 704 cu. metre
Volume of ditch = (48 × 16.5 × 4) cu. metre = 3168 cu. metre
∴ Part of ditch filled =
704
=
2
parts
31689



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