The ratio of the surface area of the large sphere to the surface area of the small sphere of radius 20Ï€ meters and 6Ï€ 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 = 4Ï€r^2
Solving for the surface area of each sphere:
1. larger sphere, r = 20Ï€ meters
A = 4Ï€r^2
A = 4Ï€(20Ï€ meters)^2
A = 4Ï€(400Ï€^2 square meters)
A = 1600Ï€^3 square meters
2. smaller sphere, r = 6Ï€ meters
A = 4Ï€r^2
A = 4Ï€(6Ï€ meters)^2
A = 4Ï€(36Ï€^2 square meters)
A = 144Ï€^3 square meters
Getting the ratio of the surface area of the large sphere to the surface area of the small sphere:
1600Ï€^3 square meters / 144Ï€^3 square meters = 100/9
To learn more about surface area of sphere: https://brainly.com/question/1293273
#SPJ4
