Multiple choice

If the radius of a cylinder is halved and its height is reduced to one-fourth, then the new curved surface area of the cylinder will be _____ of its original curved surface area.

  1. 1/16th

  2. 1/8th

  3. 1/4th

  4. There would be no effect on the curved surface area.

  5. NA

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Original CSA = 2 * pi * r * h. New CSA = 2 * pi * (r/2) * (h/4) = (1/8) * (2 * pi * r * h). The new area is 1/8th of the original.

AI explanation

The formula for the curved surface area of a cylinder is 2piRH. When the radius is halved and the height is reduced to one-fourth, the new curved surface area becomes 2pi(R/2)(H/4). This simplifies to (1/8) * 2piRH, so the new curved surface area is 1/8th of the original.