The lateral area of a cylinder is 28 pi in^2. All of the dimensions are changed by the same factor and the new lateral area is 448 pi in^2. What was the dimensional factor change

for similar figures"

lengths are proportional to scale ratio

areas are proportional to the square of scale ration

volumes are proportional to cube of scale ratio

448/28 = 16
sqrt 16 = 4

so four times all the length measurements