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    Question

    A sphere of the greatest possible size is enclosed

    within a cube whose edge length is 28 cm. Calculate the surface area (in cm²) of the sphere. (Take π = 22/7)
    A 1,400 cm² Correct Answer Incorrect Answer
    B 3,364 cm² Correct Answer Incorrect Answer
    C 2,014 cm² Correct Answer Incorrect Answer
    D 2,464 cm² Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    The largest sphere that fits inside a cube will have a diameter equal to the cube’s edge. So, diameter of sphere = 28 cm Hence, radius of sphere = 28 / 2 = 14 cm Surface area of sphere = 4 × π × radius² = 4 × (22/7) × 14² = 4 × (22/7) × 196 = 4 × (4312/7) = 17248 / 7 = 2,464 cm²

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