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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 โ€˜rโ€™ cm. So, radius of sphere = 4r cm Volume of sphere = 81ย ร— volume of each cylinder => (4/3)ฯ€(3r)3ย = 81 ร— ฯ€ ร— r2ย ร— 4ย ย  => 9r = 81 => r = 9 So, required radius = 3r = 27 cm

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