Question

A cylinder has a surface area of 54π cm2
54
𝜋
cm
2
. If it were dilated using a scale factor of 12
1
2
, what is the surface area of the new cylinder?(1 point)
Responses

27π cm2
27
𝜋
cm
2
27 pi centimetre squared

108π cm2
108
𝜋
cm
2
108 pi centimetre squared

6.75π cm2
6.75
𝜋
cm
2
6 point 7 5 pi centimetre squared

13.5π cm2
13.5
𝜋
cm
2
13 point 5 pi centimetre squared

Answer 1

Surface area scales by the square of the dilation factor. If the scale factor is 1/2, new area = 54π × (1/2)^2 = 54π × 1/4 = 13.5π cm^2.

Answer: 13.5π cm^2.