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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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