Question

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

108π cm2
108 pi cm squared

6.75π cm2
6 point 7 5 pi cm squared

13.5π cm2
13 point 5 pi cm squared

27π cm2

Answer 1

If the scale factor is 1/2 (looks like "12" meant "1/2"), area scales by (1/2)^2 = 1/4. So new area = 54π × 1/4 = 13.5π cm².

(If the scale factor were actually 12, the new area would be 54π × 144 = 7776π cm².)