Multiple choice

If the curved surface area of a cylinder is 440 cm2 and the height of the cylinder is 10 cm, then what is its radius (in cm)?

  1. 7 cm

  2. 14 cm

  3. 21 cm

  4. 3.5 cm

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A Correct answer
Explanation

Curved surface area of a cylinder = 2 * pi * r * h. 440 = 2 * (22/7) * r * 10. 440 = (440/7) * r. Therefore, r = 7.

AI explanation

The curved surface area of a cylinder is found by the formula 2 times pi times r times h, which equals 440. Substituting the height h as 10 cm gives 2 times pi times r times 10 equals 440. Solving for the radius r yields r equals 440 divided by 20 times pi, resulting in 7 cm.