Multiple choice

The diameter of a cylinder is $12$ m and its height is $10$ m. Find the curved surface area of a cylinder.

  1. $\displaystyle 240\pi { cm }^{ 2 }$
  2. $\displaystyle 120\pi { m }^{ 2 }$
  3. $\displaystyle 220\pi { m }^{ 2 }$
  4. $\displaystyle 230\pi { mm }^{ 2 }$
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B Correct answer
Explanation

The curved surface area of a cylinder is calculated using the formula 2 * pi * r * h. Given the diameter is 12 m, the radius r is 6 m. Substituting the values, 2 * pi * 6 * 10 = 120 * pi m^2.

AI explanation

The curved surface area of a cylinder is found using the formula 2 times pi times r times h. With a diameter of 12 m, the radius is 6 m, and substituting the height of 10 m gives 2 times pi times 6 times 10. This calculates to 120 times pi square m.