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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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