Question

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

Answer 1

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