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      Question

      Calculate the lateral surface area of a right circular cone

      whose diameter is 14 cm and vertical height is 10 cm.
      A 9π√149 cm² Correct Answer Incorrect Answer
      B 5π√149 cm² Correct Answer Incorrect Answer
      C 7π√149 cm² Correct Answer Incorrect Answer
      D 3π√149 cm² Correct Answer Incorrect Answer

      Solution

      ATQ,

      Radius of the cone = (14/2) = 7 cm

      So, slant height of the cone = √(10² + 7²) = √(100 + 49) = √149 cm

      So lateral surface area of the cone = π × radius × slant height = 7π√149 cm²

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