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      Question

      A cylindrical vessel 32 cm high having 18 cm as the

      radius of the base is filled with sand. This is emptied on the ground and a conical heap of sand is formed. If the height of the concial heap is 24 cm, the radius of base is:
      A 12 cm Correct Answer Incorrect Answer
      B 24 cm Correct Answer Incorrect Answer
      C 36 cm Correct Answer Incorrect Answer
      D 48 cm Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      `pir^2h = 1/3piR^2H` `(18)^2xx32 = 1/3xxR^2xx24` `R^2 = ((18)^2xx32)/8` `R = 36cm`

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