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    Question

    Find the volume (in cm³) of a right circular cone whose

    diameter is 30 cm and height is equal to the radius of a circle whose circumference is 110 cm. (Use π = 22/7)
    A 4,005 cm³ Correct Answer Incorrect Answer
    B 4,125 cm³ Correct Answer Incorrect Answer
    C 3,125 cm³ Correct Answer Incorrect Answer
    D 6,125 cm³ Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Circumference of circle = 2 × π × radius
    So, 2 × (22/7) × radius = 110
    Or, radius = 17.5 cm
    So, height of cone = 17.5 cm
    Volume of cone = (1/3) × π × radius² × height
    = (1/3) × (22/7) × 15² × 17.5
    = 4,125 cm³

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