Multiple choice

The height of a right circular cylinder is 14 cm and its curved surface area is 264 sq. cm. The radius of its base is

  1. 3 cm

  2. 4 cm

  3. 2.4 cm

  4. 12.4 cm

  5. None of these

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A Correct answer
Explanation

Curved Surface Area = 2 * pi * r * h = 264. 2 * (22/7) * r * 14 = 264. 44 * 2 * r = 264. 88 * r = 264. r = 3.

AI explanation

Using the curved surface area formula for a cylinder, CSA = 2 * pi * r * h, we substitute the given values to get 264 = 2 * 22/7 * r * 14. Simplifying the right side gives 264 = 88 * r, so r equals 3. The radius of its base is 3 cm.