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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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