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    Question

    The total surface area of a cylindrical container is 3,696

    cm². Its radius is 14 cm. If the height of the cylinder is expressed as (3k + 6), find the value of k². (Use π = 22/7)
    A 1/5 Correct Answer Incorrect Answer
    B 1/9 Correct Answer Incorrect Answer
    C 1/6 Correct Answer Incorrect Answer
    D 1/4 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    TSA = 2 × π × r × (r + h)

    So, 2 × (22/7) × 14 × (14 + height) = 3,696

    Or, 14 + height = 21

    Or, height = 7 cm

    Now, 3k + 6 = 7

    Or, 3k = 1

    Or, k = 1/3

    Required value = (1/3)² = 1/9

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