Question

You are standing 7.0 meters from a sound source that radiates equally in all directions, but it is too loud for you. How far away from the source should you stand to experience one third the intensity that you did at 7.0 meters? answer in meters

Answer 1

The power of sound depends on the distance from the source as 1/R2, thus
I₂ = 1/3 I₁
1/d² = 1/3 1/7²;
d² = 147;
d = 12.12 m.
You should stand 12.12 m away from the source.