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    Question

    Calculate the slant height of a right circular cone if

    the volume is 1232 cm³ and the base area is 154 cm².
    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 × height ÷ 3 So, height of the cone = 1232 ÷ 154 × 3 = 24 cm Area of the base = πr2 (Where ‘r’ is the radius) 154 = (22/7) × r × r Or, r2 = 49 So, r = 7 (As radius cannot be negative) Slant height of cone = √(radius2 + height2) So, slant height = √(72 + 242) = √(49 + 576) = 25 cm

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