Thank you for the opportunity to help you with your question!
You expect double the volume of one world, and volume is proportional to R^3, so Rx = R*2^(1/3). Rf/Rx = (R*3/4)/(R*2^(1/3)) = (3/4)/2^(1/3) Vf/Vx = (Rf/Rx)^3 =((3/4)/2^(1/3))^3 = (3/4)^3/2 = 0.2109375 Final density = Vx/Vf*ρ0 = 4.7ρ0
Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 11th, 2015
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