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    Question

    A cone has a height of 14 cm and a volume of 2,112 cm³.

    What is the ratio of the cone's height to its radius? {Take π = (22/7)}
    A 7:5 Correct Answer Incorrect Answer
    B 6:7 Correct Answer Incorrect Answer
    C 6:5 Correct Answer Incorrect Answer
    D 7:6 Correct Answer Incorrect Answer

    Solution

    Let the radius of the cone be ‘r’ cm.

    Volume of cone = (1/3) × (22/7) × r 2  × height

    ATQ: 2112 = (1/3) × (22/7) × r 2  × 14

    Or, r 2  = 144

    So, r = 12 (Since, radius cannot be negative therefore, we can discard the negative root)

    So, required ratio = 14:12 = 7:6

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