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    Question

    The volume of a right circular cone is given as 1232

    cm┬│, and its base area measures 154 cm┬▓. Determine the slant height of the cone.
    A 26 cm Correct Answer Incorrect Answer
    B 14 cm Correct Answer Incorrect Answer
    C 20 cm Correct Answer Incorrect Answer
    D 12 cm Correct Answer Incorrect Answer
    E 25 cm Correct Answer Incorrect Answer

    Solution

    Volume of cone = Area of base X height ├╖ 3 So, height of the cone = 1232 ├╖ 154 X 3 = 24 cm Area of the base = ╧Аr2┬а(Where 'r' is the radius) 154 = (22/7) X r X r Or, r2┬а= 49 So, r = 7 (As radius cannot be negative) Slant height of cone = тИЪ(radius2┬а+ height2) So, slant height = тИЪ(72┬а+ 242) = тИЪ(49 + 576) = 25 cm

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