I'm wondering how to scale up the surface area of a sphere of 6 million meters in radius, into a hypersphere of similar radius (i.e. a Hyper Earth). I would also like to know the ratio. I would like to know the basic value in 4th dimension, but knowing values for 5th, 6th, and higher would be useful too. I attempted using something like pi^2*r^3 after badly integrating numbers that probably shouldn't be integrated, but then I got confused, because the units produced different surface areas. like if the unit is 1 earth radius, then taking it to the 3rd, 4th, or 5th power doesn't change the output, and if the units are km, they produce a smaller change than if the units are meters, or nanometers. I got so lost on this issue that I decided to post here.