How do you find the ratio of the surface area of two similar cylinders? ?

Question

How do you find the ratio of the surface area of two similar cylinders with diameter of 6 in and 8 in?

Answer 1

For any two similar objects with measurements in the ratio 6:8 or 3:4, the ratio of corresponding areas such as the surface area is:

(3 / 4)^2

= 9 / 16.

Square the ratio of lengths to get the ratio of areas, and cube it to get the ratio of volumes.

The ratio of corresponding volumes for your two cylinders is:

(3 / 4)^3 = 27 / 64.