Question

a cylinder with a radius of 4 cm and height of 8 cm has a surface area of 96π cm² if another similar cylinder has a scale factor of 1/2 to this cylinder what is the surface area in terms of π for that cylinder in cm² (1 point)

Explanation:

Step1: Recall the scale factor for surface area

For similar solids, the ratio of their surface areas is the square of the scale factor. The scale factor here is $\frac{1}{2}$, so the ratio of surface areas is $(\frac{1}{2})^2=\frac{1}{4}$.

Step2: Calculate the new surface area

The original surface area is $96\pi$ $cm^2$. Multiply the original surface area by the ratio of surface areas: $96\pi\times\frac{1}{4} = 24\pi$.

Answer:

$24\pi$