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    Question

    The surface area of a sphere is 2,464 cm2. If

    the sphere is cut into two equal pieces, then find the total surface area of each hemisphere thus formed. (Take π = 22/7)
    A 1884 cm2 Correct Answer Incorrect Answer
    B 1844 cm2 Correct Answer Incorrect Answer
    C 1488 cm2 Correct Answer Incorrect Answer
    D 1848 cm2 Correct Answer Incorrect Answer

    Solution

    Area of hemisphere = 3πr {where ‘r’ is the radius}

    Surface area of sphere = 4πr2 (Where ‘r’ is the radius)

    Let radius of the given sphere ‘r’ cm

    ATQ;

    2464 = 4 × (22/7) × r × r

    Or, r2 = 196

    So, r = 14

    Required area = 3 × (22/7) × 14 × 14 = 1,848 cm2

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