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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)
13.5π cm2
108π cm2
27π cm2
6.75π cm2
All Answers 1
Answered by
GPT-5 mini
AI
Area scales by the square of the linear scale factor. If the scale factor is 12, the new area is 54π × 12^2 = 54π × 144 = 7776π cm².
However, the given answer choices match a scale factor of 1/2 (not 12). If k = 1/2, new area = 54π × (1/2)^2 = 54π × 1/4 = 13.5π cm², which is the choice listed.
However, the given answer choices match a scale factor of 1/2 (not 12). If k = 1/2, new area = 54π × (1/2)^2 = 54π × 1/4 = 13.5π cm², which is the choice listed.
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