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    Question

    A solid cone and a solid hemisphere have the same radius

    and height. If the volume of the cone is 540 cm³, find the volume of the hemisphere.
    A 850 cm³ Correct Answer Incorrect Answer
    B 1080 cm³ Correct Answer Incorrect Answer
    C 540 cm³ Correct Answer Incorrect Answer
    D 1620 cm³ Correct Answer Incorrect Answer

    Solution

    Volume of a cone = (1/3)πr²h, Volume of a hemisphere = (2/3)πr³. Since the radius and height are the same, the volume of the hemisphere will be double the volume of the cone. Volume of the hemisphere = 2 × 540 = 1080 cm³. Correct option: B) 1080 cm³

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