Question

Two similar cylinders are shown in the image below.



If the smaller cylinder has a lateral area of approximately 126 square meters, what is the approximate lateral area of the larger cylinder?
Answer
787.5 square meters
315.0 square meters
50.4 square meters
1,968.8 square meters

Answer 1

If two cylinders are similar, then the square of their scale factor = the ratio of their lateral areas.

8/20 = 2/5 is the scale factor

(2/5) ^2 = 126/x where x is the lateral area of the larger cylinder.

4/25 = 126 /x

Answer 2

4x = 25*126

x= 1575/2

Answer 3

so x= 787.5

Answer 4

x = 787.5 square meters - yes.

Answer 5

thank you XD

Answer 6

Glad to help.