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    Question

    Calculate the lateral surface area of a right circular cone

    whose diameter is 14 cm and vertical height is 10 cm.
    A 9π√149 cm² Correct Answer Incorrect Answer
    B 5π√149 cm² Correct Answer Incorrect Answer
    C 7π√149 cm² Correct Answer Incorrect Answer
    D 3π√149 cm² Correct Answer Incorrect Answer

    Solution

    ATQ,

    Radius of the cone = (14/2) = 7 cm

    So, slant height of the cone = √(10² + 7²) = √(100 + 49) = √149 cm

    So lateral surface area of the cone = π × radius × slant height = 7π√149 cm²

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