# Hello! I need help with this one question in particular. I've tried a variety of solutions and I keep getting it incorrect. Thanks!?

Two cylinders are similar. The surface area of one is 49 cm ^ 2 , and the surface area of the other is 121 cm ^ 2 . Find the scale factor between them.

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• 1 month ago

The scale factor between the two cylinders is 7 : 11.

• Vaman
Lv 7
1 month ago

Cylinders have two independent variables, height and radius. Two cylinders are similar. Are they equal in height or are they have the same radius? Surface areas differs. You will not get correct answers.

• sepia
Lv 7
1 month ago

Two cylinders are similar.

The surface area of one is 49 cm^2,

and the surface area of the other is 121 cm^2.

The scale factor between them is 7 : 11.

• 1 month ago

In similar shapes, the lengths of the edges have a scale factor.  If you know what this factor is, the same factor can be used for all sides.

The multiple of the larger area compared to the smaller area is the square of the scale factor.

so if we say "s" is the scale factor, then the square of it is (s²)

Set that to the larger area over the smaller area and solve for s:

s² = 121/49

s = 11/7

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