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    Question

    The total surface area of a cylindrical pipe is 6,160 cm²,

    and its radius is 22 cm. If the height of the cylinder is written as (k - 5), calculate the value of k². (Use π = 22/7)
    A 175 Correct Answer Incorrect Answer
    B 121 Correct Answer Incorrect Answer
    C 160 Correct Answer Incorrect Answer
    D 145 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    TSA = 2 × π × r × (r + h)

    So, 2 × (22/7) × 22 × (22 + height) = 6,160

    Or, 22 + height = 28

    Or, height = 6 cm

    Now, k - 5 = 6

    Or, k = 11

    Required value = 11² = 121

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