I believe you need more than pi to create a proof on the subject.

You have shown that the interior rectangular volume of the sarcophagus in G1 matches the interior volume of an imaginary sphere with radius of 2.5 cubits (@ 20.63" per cubit), without explaining where the sphere comes from.

You provide no evidence that supports the AE of the Old Kingdom era ever converted spherical volume into rectangular volume, or that they were interested in such volumes in any way.

There are no AE historical examples of any construct that reveals the volume of a structure containing a sarcophagus is related to the interior volume of said sarcophagus, and there are no shortages from the Old Kingdom era of this combination.

Although it is interesting, it is so far exhibited as nothing more than coincidence. I recommend you read Annette Imhausen or Corinna Rossi "Architecture and Mathematics in Ancient Egypt"...

At least for me I am still at a loss for the reason or purpose of why anyone would go through the exhaustive process of building a sarcophagus with a specific interior volume that does not relate to any of their cult fetishes or creation (rebirth) doctrine.

Please understand I'm not trying to discourage your work or investigation I'm merely pointing out my doubts and the elements that cause them, I would love for your work to be proven, I just think you are a long way from a constructive solution.

Best,

B.A.Hokom