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    Question

    The total surface area of a cylinder is 6,600 cm² and its

    radius is 25 cm. If the height is (k + 10), then calculate k². (Use π = 22/7)
    A 175 Correct Answer Incorrect Answer
    B 196 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) × 25 × (25 + height) = 6,600

    Or, 25 + height = 21

    Or, height = -4 cm

    Now, k + 10 = -4

    Or, k = -14

    Required value = (-14)² = 196

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