The square root of 5 + 3 times 100 seems to me to be the correct measurements This gives us 523.60679774997896964091736687313

Clive Ross, rest his soul, also sometimes used your formula for volume but we can't ignore that using the following as per Wiki:

Semi major axis of Earth = 149,598,261 km

Semi major axis of Mars = 227,939,100 km

Ratio = 1.5236747972625163069241827617234

Therefore the difference between Earth and Mars is 78340839 km and as a ratio between Earth and Mars = .5236747972625163069241827617234 and times 1000 gives us 523.6748. This checks to 7/100 of a millimeter !!!

Never forget ... "As Above ... So Below" .

regards

"There is nothing as impenetrable as a closed mind"
and ..." if everything is a coincidence what is the point of studying or measuring or analyzing anything ?" db