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    Question

    The surface area of a right circular cylinder is 3,696

    cm² and its radius is 14 cm. If the height of the cylinder is described as (k + 10), what is the value of k²? (Use π = 22/7)
    A 75 Correct Answer Incorrect Answer
    B 81 Correct Answer Incorrect Answer
    C 60 Correct Answer Incorrect Answer
    D 45 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Total surface area = 2 × π × r × (r + h)

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

    ⇒ 14 + height = 33

    ⇒ height = 19 cm

    Now, k + 10 = 19

    ⇒ k = 9

    Required value = 9² = 81

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