Multiple choice

The height of a cylinder is 14 cm and its curved surface 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. 6 cm
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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

The curved surface area of a cylinder is found by the formula 2 * pi * r * h. Setting the area to 264 square cm with a height of 14 cm gives the equation 264 = 2 * (22 / 7) * r * 14, which simplifies to 264 = 88 * r. Dividing 264 by 88 gives the radius as 3 cm.

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