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    Question

    The volume of a hemisphere is 2425 (1/ 2) cm3

    . Find its radius (Take p = 22/7)
    A 9.5 cm Correct Answer Incorrect Answer
    B 10 cm Correct Answer Incorrect Answer
    C 10.5 cm Correct Answer Incorrect Answer
    D 12 cm Correct Answer Incorrect Answer

    Solution

    Let the radius of the hemisphere be R   (2/3) x (22/7) × R3 = 2425.5 (2/3) × (22/7) x R³ = (4851/2)   (2/3) × (22/7) × R³ = (99 × 49)/2 R³ = (3 × 3 × 11 × 7 × 7 × 3 × 7)/ (2 × 2 × 2 × 11) R³ = (3 × 3 × 3 × 7 × 7 × 7)/ (2 × 2 × 2) R = (3 × 7)/2 R = 10.5 cm. The radius of the hemisphere is 10.5 cm

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