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      Question

      The lateral surface area of frustum of a right circular

      cone, if the area of its base is and the diameter of circular upper surface is 4 cm and slant height 6 cm, will be
      A 30Ο€ cm^2 Correct Answer Incorrect Answer
      B 48Ο€ cm^2 Correct Answer Incorrect Answer
      C 36Ο€ cm^2 Correct Answer Incorrect Answer
      D 60Ο€ cm^2 Correct Answer Incorrect Answer

      Solution

      r = 4/2 = 2 cm
      Also, πR^2 = 16 π
      ⇒ R^2 = 16
      ⇒ R = 4
      Heightof the frustum h = 6 cm
      Lateral surfacea area of the frustum = π (R + r) × l
      ⇒ π (4 + 2) × 6
      ⇒ 6 × 6 × π
      ⇒ 36 π

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