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      Question

      What is the maximum number of pieces 1 cm in diameter

      and 20 cm long that can be cut out of a cylindrical wooden block 20 cm in length and 3 cm in diameter?
      A 4 Correct Answer Incorrect Answer
      B 5 Correct Answer Incorrect Answer
      C 6 Correct Answer Incorrect Answer
      D 9 Correct Answer Incorrect Answer

      Solution

      Radius (r) of given cylindrical wooden block = 3/2 cm (because Diameter = 2*radius) Length (h) = 20cm The volume of the block = ╧Аr┬▓h = ╧А *(3/2)┬▓* (20) = 45 ╧А Now we need to find max number of pieces of 1 cm in diameter. So, radius = 1/2 cm, length = 20cm So, volume of the required block = ╧Аr2h = ╧А*(1/2)2*(20) = 5╧А So, max pieces = 45 ╧А /5 ╧А = 9 pieces.

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