The excess pressure inside a soap bubble is thrice the excess pressure inside a second soap bubble. The ratio between the volume of the first and the second bubble is:

Step-by-step solution

P ₁- P ₀= 4 ~T r ₁ P ₂- P ₀= 4 ~T r ₂ aligned & P ₁- P ₀=3 ( P ₂- P ₀ ) & 4 ~T r ₁ =3 4 ~T r ₂ & r ₂=3 r ₁ & V ₁ ~V ₂ = 4 3 r ₁^3 4 3 r ₂^3 = 1 27 aligned