.... Gyro is pretty close
Hey, no fair!
yeah sorry, that did occur to me, 4 hours after i posted it.
I think, therefore, that Gyro should be given first acknowledgement for a good answer. I will admit I based my guess on his figure.
Reminds me of a guessing competition many years ago at a place I once worked - how many grains of rice were in the jar. I took some measurements of the jar and some grains of rice (of the same type) and did some volume and packing calculations. Yes, I did get a few eye rolls.
I came up with a number that was far higher than any other guesses, so even with some significant error on my part, I felt confident I was in the right ball park for a win. Each person's entry consisted of 5 guesses, so I took my calculation as my middle guess and picked two more higher and two more lower, spaced about 1,000 apart. Someone after me picked numbers halfway between my guesses, so my coverage was now cut in half. That was annoying. Nevertheless, it turned out that my coverage included the number the judges came up with - and I won the tea set.