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    Question

    The radius of a hemisphere is 6 cm. A cylinder with the

    same radius and height is placed inside the hemisphere. Find the volume of the remaining portion of the hemisphere that is not occupied by the cylinder.
    A 216π cm³ Correct Answer Incorrect Answer
    B 432π cm³ Correct Answer Incorrect Answer
    C 648π cm³ Correct Answer Incorrect Answer
    D 864π cm³ Correct Answer Incorrect Answer

    Solution

    Volume of the hemisphere = (2/3)πr³, Volume of the cylinder = πr²h, Given: r = 6 cm, height of the cylinder = 6 cm. Volume of the hemisphere = (2/3)π(6)³ = 432π cm³. Volume of the cylinder = π(6)²(6) = 216π cm³. Remaining volume = Volume of the hemisphere - Volume of the cylinder Remaining volume = 432π - 216π = 216π cm³. Correct option: A) 216π cm³.

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