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      Question

      A solid right circular cone is cut into two parts at the

      middle of its heightby a plane parallel to its base. The ratio of the volume of smaller cone to the whole cone is
      A 1 : 4 Correct Answer Incorrect Answer
      B 1 : 6 Correct Answer Incorrect Answer
      C 1 : 8 Correct Answer Incorrect Answer
      D 1 : 2 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      A cone is cut at half its height by a plane parallel to its base, forming a smaller cone on top. Ratio of Dimensions Height of smaller cone = h/2 Radius of smaller cone = r/2 (Since the cones are similar, their dimensions are reduced proportionally). Volume Ratio Volume of a cone formula:

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