Respuesta :
The ratio of the surface area of the large sphere to the surface area of the small sphere of radius 20π meters and 6π meters, respectively, is B. 100/9.
Surface area refers to the total area covering the outside of a three dimensional shape. The surface area of a sphere is given by the formula:
A = 4πr^2
Solving for the surface area of each sphere:
1. larger sphere, r = 20π meters
A = 4πr^2
A = 4π(20π meters)^2
A = 4π(400π^2 square meters)
A = 1600π^3 square meters
2. smaller sphere, r = 6π meters
A = 4πr^2
A = 4π(6π meters)^2
A = 4π(36π^2 square meters)
A = 144π^3 square meters
Getting the ratio of the surface area of the large sphere to the surface area of the small sphere:
1600π^3 square meters / 144π^3 square meters = 100/9
To learn more about surface area of sphere: https://brainly.com/question/1293273
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