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    Question

    A cone and a hemisphere have the same base radius and

    the same height. If the total volume of both is 2,160 cm┬│, find the radius.
    A 8.8 cm Correct Answer Incorrect Answer
    B 10.4 cm Correct Answer Incorrect Answer
    C 12.6 cm Correct Answer Incorrect Answer
    D 14.8 cm Correct Answer Incorrect Answer
    E 20 cm Correct Answer Incorrect Answer

    Solution

    Volume of cone = (1/3)╧Аr┬▓h Volume of hemisphere = (2/3)╧Аr┬│ Total volume = (1/3)╧Аr┬▓h + (2/3)╧Аr┬│ = 2160 Since base radius and height are the same, let h = r. (1/3)╧Аr┬│ + (2/3)╧Аr┬│ = 2160 (1/3 + 2/3)╧Аr┬│ = 2160 ╧Аr┬│ = 2160 r┬│ = 2160 / ╧А = 2160 / 3.14 тЙИ 687.58 r тЙИ 8.8 cm Correct Option: a) 8.8 cm

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