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    Question

    Determine the slant height of a cone with a height of 20

    cm. The cone's base radius is the same as that of a sphere, which has a volume of 38,808 cm³. (Use π = 22/7)
    A 27 cm Correct Answer Incorrect Answer
    B 33 cm Correct Answer Incorrect Answer
    C 25 cm Correct Answer Incorrect Answer
    D None of these Correct Answer Incorrect Answer

    Solution

    Volume of a sphere = (4/3) X π X r3 (Where 'r' is the radius) So, (4/3) X (22/7) X r3 = 38,808 Or, r3 = 38,808 X (21/88) Or, r3 = 9,261 So, r = 21 cm Slant height = √(height2 + radius2) = √(202 + 212) = √(400 + 441) = √841 = 29 cm

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