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    Question

    A solid cone is placed inside a solid hemisphere, both

    having the same radius and height. If the volume of the cone is 150 cm³, find the total volume of the cone and the hemisphere combined.
    A 550 cm³ Correct Answer Incorrect Answer
    B 600 cm³ Correct Answer Incorrect Answer
    C 700 cm³ Correct Answer Incorrect Answer
    D 450 cm³ Correct Answer Incorrect Answer

    Solution

    Volume of the cone = (1/3)πr²h, Volume of the hemisphere = (2/3)πr³, Given: Volume of the cone = 150 cm³. Volume of the hemisphere = 2 × Volume of the cone Volume of the hemisphere = 2 × 150 = 300 cm³. Total volume = Volume of the cone + Volume of the hemisphere Total volume = 150 + 300 = 450 cm³. Correct option: D) 450 cm³

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