Note the sacred geometry reference. I have never seen rigorous proof that Egyptians thought of geometry as sacred. Greeks may have thought in that manner, but Egyptians, no. Sylvia Couchard's paper hopefully will not include a sacred element.
To my view, Egyptians wrote their highest form mathematics in Egyptian fractions, thereby trying to write out exact statements. Of course, early on, Egyptians discovered that certain relationships, like pi, could not be exactly calculated, hence approximations (like a rough value for pi) were substituted.
Concerning volume computations concerning a cylinder, used for a silo to hold grain, the hekat was calculated on a poor 256/81 approximation for pi. Yet, the hekat and its sub-units were rigorously handled by scribes as if the beginning unit was exact. Thus, from this view, one that I may modify after looking closely at Sylvia's paper, and other papers that parse scribal geometry, scribes thought more of Egyptian fraction exactness than geometrical exactness.