Question in description

Question

1. The lateral surface area of a cylinder is 189𝜋 cm2. If its dimensions were reduced to one-third their original length, by what factor would its lateral surface area be affected?

Answer 1

The lateral surface area of a cylinder is circumference x height C x h = 189 x pi cm²

If each dimension is 1/3 the original, the new circumference is 1/3 C, and the new height is 1/3 h, so the new

area would be C/3 x h/3 = C x h / 9.

The new lateral surface area is 1/9 the original area.