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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)πr³ = (1/3)πR²H (4/3) × π × 7³ = (1/3) × π × R² × 28 4 × 343 = 28R² R² = 49 R = 7 cm Correct option: a

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