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      Question

      The total surface area of a cylindrical container is 3,696

      cm². Its radius is 14 cm. If the height of the cylinder is expressed as (3k + 6), find the value of k². (Use π = 22/7)
      A 1/5 Correct Answer Incorrect Answer
      B 1/9 Correct Answer Incorrect Answer
      C 1/6 Correct Answer Incorrect Answer
      D 1/4 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      TSA = 2 × π × r × (r + h)

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

      Or, 14 + height = 21

      Or, height = 7 cm

      Now, 3k + 6 = 7

      Or, 3k = 1

      Or, k = 1/3

      Required value = (1/3)² = 1/9

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