I didn't check the assumptions behind those pictures, but if you compressed all of the upper atmosphere into the volume it would occupy at 1 ATM of pressure, then perhaps that's what they're getting at. Obviously that would be much smaller than the actual "volume" of the atmosphere...which is really quite unlimited when you include the expansion at low pressure.
My $0.02.
As for the water, my guess was that the "ball" would be about 1/3 of the size it is....but I was wrong. The oceans are very, very shallow compared with their area. The Pacific is more than 15,000 km wide, and no deeper than 11 km at its lowest point. That's 0.07% ... like someone said, like the skin of an apple.
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Originally Posted by octothorp
Yeah, not to nitpick but they said atmosphere, which includes the thermosphere, which is measured in the hundreds of kms. Obviously if they choose to just show a quarter of the atmosphere, then they can make a surprisingly small ball, but it's not accurate. My estimate was actually extremely conservative, and one could easily argue that it should be over 20 times the volume of their sphere.
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