See the Youtube at the end for more of an explanation.
root2 = pow(2,1/2)
xyz_cube = root2 ** 3
ivm_cube = 3
S3 = ivm_cube/xyz_cube
print("""
S3 = {}
""".format(S3))
S3 = 1.060660171779821
from math import pi
xyz_ball = (4/3)*pi
xyz_ball
4.1887902047863905
(xyz_ball*S3)/6
0.7404804896930607
from IPython.display import YouTubeVideo
YouTubeVideo("ZCoYzZBn-kI") # https://youtu.be/ZCoYzZBn-kI
Don't see the Youtube? Check it out on nbviewer.