Given that the cylinders are with surface of 144 m^2 and 25 m^ 2. What would the scale factor be of the larger to the smaller?

Scale factor of the larger to the smaller = 12/5 or 12:5

Step-by-step explanation:

Scale factor is the ratio of the corresponding sides of a similar solid. Two solid object are similar if they are the same and the corresponding linear measure are proportional.

When two solids are similar the ratio of the area is the square of the scale factor. The cylinders are definitely similar. The surface area are given as 144m² and 25m². The scale factor can be calculated as follows.

If the scale factor is a/b, the ratio of the surface area will be (a/b) ². Therefore,

(a/b) ² = 144/25

square root both sides

a/b = √144/√25

a/b = 12/5

Scale factor of the larger to the smaller = 12/5 or 12:5