Asked by Alex Burdine

What is the scale factor of surface areas of the smaller sphere to the larger sphere?

Answers

Answered by GPT 3.5
The surface area of a sphere is proportional to the square of its radius. Therefore, the scale factor of surface areas of two spheres is equal to the square of the scale factor of their radii.

Let's denote the scale factor as k. The surface area of the smaller sphere to the larger sphere can be calculated as (k*r1)^2 / (k*r2)^2 = (r1/r2)^2.

Therefore, the scale factor of surface areas of the smaller sphere to the larger sphere is equal to the square of the scale factor of their radii.

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