Question

A cylinder has a surface area of 54π cm^2
. If it were dilated using a scale factor of 1/2
, what is the surface area of the new cylinder?(1 point)
Responses

6.75π cm^2
6 point 7 5 pi centimetre squared

27π cm^2
27 pi centimetre squared

13.5π cm^2
13 point 5 pi centimetre squared

108π cm^2

Answer 1

Surface area scales by the square of the linear scale factor. With k = 1/2, new area = (1/2)^2·54π = 1/4·54π = 13.5π cm^2.

Answer: 13.5π cm^2.