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    Question

    A hemisphere has a total surface area of 604.8 cm².

    Calculate the volume of a sphere that has the same radius as the given hemisphere. (Take π = 3.15)
    A 2150.4 cubic cm Correct Answer Incorrect Answer
    B 1980.6 cubic cm Correct Answer Incorrect Answer
    C 2248.4 cubic cm Correct Answer Incorrect Answer
    D 2075.5 cubic cm Correct Answer Incorrect Answer

    Solution

    Total surface area of the hemisphere = 3 × π × radius2 = 3 × 3.15 × radius2 = 604.8 So, radius2 = 604.8 ÷ (3 × 3.15) = 64 So, radius = √64 = 8 cm So, volume of the sphere with the same radius = (4/3) × π × radius3 = (4/3) × π × radius3 = (4/3) × 3.15 × 83 = 2150.4 cm3

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