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    Question

    A cone has a height of 28 cm. A sphere is melted to form

    this cone. If the radius of the sphere is 7 cm, find the radius of the base of the cone.
    A 7 cm Correct Answer Incorrect Answer
    B 12 cm Correct Answer Incorrect Answer
    C 14 cm Correct Answer Incorrect Answer
    D 16 cm Correct Answer Incorrect Answer

    Solution

    Volume of sphere = Volume of cone (4/3)╧Аr┬│ = (1/3)╧АR┬▓H (4/3) ├Ч ╧А ├Ч 7┬│ = (1/3) ├Ч ╧А ├Ч R┬▓ ├Ч 28 4 ├Ч 343 = 28R┬▓ R┬▓ = 49 R = 7 cm Correct option: a

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