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      Question

      A sphere is melted to form 81 identical cylinders. If

      radius of each cylindrical is 1/3rd of the radius of sphere and height of each cylinder is 4 cm, then find the radius of sphere.
      A 17 cm Correct Answer Incorrect Answer
      B 27 cm Correct Answer Incorrect Answer
      C 21 cm Correct Answer Incorrect Answer
      D 19 cm Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let radius and height of each cylinder be тАШrтАЩ cm. So, radius of sphere = 4r cm Volume of sphere = 81┬а├Ч volume of each cylinder => (4/3)╧А(3r)3┬а= 81 ├Ч ╧А ├Ч r2┬а├Ч 4┬а┬а => 9r = 81 => r = 9 So, required radius = 3r = 27 cm

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