10000/9 x 33 = 36666.666r/11.666r = 3142.857143 one thousand pies please
The height using 44/7 is 500 Egyptian feet exactly because they used 44/7 ias the framework so the designers had to use 500 to get 1000 in the base.
But of course there will be insistence that 11.666r is not the Egyptian foot.
11.666r x 22/7 = 36.666r so it seems to work this way too.
And 3,125 x 176/175 = 22/7 yet another way.
500 in height produces 1000 in the base, it is very deliberate.
The royal cubit produces pi as 3.125 x 6.6 = 20.625 per Berriman and Jim Wakefield
36 x 0.333r = 12
35 x 0.333r = 11.666r the Egyptian foot one step from the English foot.