My view is that the Rhind Papyrus [en.wikipedia.org] and Moscow Papyrus provide evidence for calculation of volume of a circular granary and hemispherical basket. In each case they are using a formula they have derived but it is unclear how they derived it. The formula contains a constant [1 - 1/9]^2 x d ^2 which can be re-written under our own algebraic rules where d = 2r to [8/9]^2 x 2^2 x r^2. which of course results in the 256/81 number. What we seem to be arguing over is semantics - whether they recognised that the constant should be given its own unique name such as Pi and whether they attempted to ever make it more accurate. We can see and do see from the Papyrus that they are aware of their constant's importance in both area and volume calculations.
Here, I'm repeating a claim that I made in another thread that Pi is encoded in the Westcar Papyrus, specifically the story of Sneferu in the Westcar Papyrus might encode Pi as 22/7 but in mythology. The story starts on page 65 here: [mjn.host.cs.st-andrews.ac.uk]
In essence, I believe there are 22 people on the boat - the 20 female rowers + Sneferu + Djadjaemankh = 22 people
The story tells us that one of the girls rowing snags the oar in her hair and her "fish-pendant of new turquoise fell into the water." page 88. Following the story through, it tells us that she was the stroke rower for her side and her side stops rowing. It doesn't say the other side stops also, so I presume they continue to row. In these circumstances the boat is making a circular motion or "going around in circles".
The fish pendant of new-turquoise is at the bottom of the lake. There are a couple of options for how to make 7 from the fish pendant:
1. The character for 7 in hieratic script looks a bit like a fish with its body turned; and
2. The first phonetic character in the fish pendant is a zig-zag line with 7 peaks.
So we have 22 people on the boat going in a circular motion which is on top of the fish pendant with 7 peaks in its first phoneme.