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      Question

      The ratio of the height of cylinder and cone is 14:27,

      and ratio of the radius is 6:7. The cylinder and cone are transformed into two cubes, respectively.   What will be the ratio of the edge of two cubes?
      A 5:(6)¹̸³ Correct Answer Incorrect Answer
      B 4:(7) Correct Answer Incorrect Answer
      C 2:(7)¹̸³ Correct Answer Incorrect Answer
      D 8:7 Correct Answer Incorrect Answer
      E 6:(7)¹̸³ Correct Answer Incorrect Answer

      Solution

      Ratio of the volume of cylinder and cone = 3x(36/49) x (14/27)                                                                            = 8/7 They are changed into cubes So, the volume will be same for cube as it is for cylinder and cone Let the edge of cube converted from the Cylinder = a Let the edge of the cube converted from the Cone = b Ratio of volume of cube = a3 / b3 8/7 = a3 / b3 2/71/3 = a/b

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