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      Question

      A hollow cylinder has an external radius of 7 cm and an

      internal radius of 5 cm. If the height of the cylinder is 10 cm and it is melted to form a sphere, find the radius of the sphere.(Approx)
      A 4.75 Correct Answer Incorrect Answer
      B 6.25 Correct Answer Incorrect Answer
      C 5.65 Correct Answer Incorrect Answer
      D 4.85 Correct Answer Incorrect Answer

      Solution

      ┬а Volume of the hollow cylinder- Volume of cylinder = ╧А (R2 - r┬▓) h = ╧А ├Ч 10 ├Ч (72 -52) = ╧А ├Ч 10 ├Ч (49-25) = ╧А ├Ч 10 ├Ч 24 = 240 ╧А cm┬│ ┬а Volume of the sphere: Volume of sphere =4/3 ╧Аr3 Equating volumes- 240╧А = 4/3 ╧Аr3 240 = 4/3 r3 r3 =180 r = тИЪ180 r = 5.65 cm(approx.)

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