Multiple choice

The heights of two cylinders are equal and their radii are in the ratio of 3: 2 then the ratio of their curved surface areas is______

  1. 3: 2

  2. 2: 1

  3. 3: 1

  4. 4: 3
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A Correct answer
Explanation

Curved surface area of a cylinder = 2 * pi * r * h. Ratio = (2 * pi * r1 * h) / (2 * pi * r2 * h) = r1 / r2 = 3 / 2.

AI explanation

The curved surface area of a cylinder is 2 times pi times r times h. Because the heights are equal, the ratio of the curved surface areas depends entirely on the ratio of the radii. Substituting the given ratio of the radii into the area formula shows that the ratio of their curved surface areas is 3 to 2.

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