Clearly, the biblical account is hyperbole, at best.
I thank Dr. X of Skepticalcommunity.com for these calculations. I hope that he will join us at some point.
Out of the interest of completeness [He has no life.--Ed.] I decided to perform the calculations I suggested HungryforFaith try.
The radius of the Earth [rE--Ed.] varies so I will use the average of 6,372.795477598 km = 6,372,795.478 meters ~ 3,959.87 miles.
As noted previously, the waters have to cover the mountains to satisfy both extant biblical Flood Myths. If I wished to be "strict" I would use Mt. Everest, but I will be "nice" and use the highest mountain in Palestine, Mt. Hermon, which is 9,232 ft or ~2,814 meters high.
To calculate the volume of the Flood [VF--Ed.], one needs to subtract the volume of the Earth [VE--Ed.] from the volume of the Flood and Earth [VF+E--Ed.]
Recalling grade school geometry:
Volume of Sphere = 4/3πr3
to get VF+E, we need the radius of the Flood [rF--Ed.] which is the height of Mt. Hermon added to rE:
rF = rE + Mt Hermon = 6,375,609.478 meters which I will round-up to 6,375,610 meters to cover the mountains.
Thus:
rE = 6,372,795.478 meters
rF = 6,375,610 meters
VE = 1.084122985 X 1021 m3
VF+E = 1.085559749 X 1021 m3
VF = 1.4367645 X 1018 m3 of water
Now we need the surface area of Earth [SAE--Ed.] Since:
Surface Area of Sphere = 4πr2
SAE = 5.103520056 X 1014 m2 of Earth.
Thus, 2,815.242194 m3 of water per m2 of Earth ~ 743,707.73 US liquid gallons water per m2 of Earth.
Yes . . . I could simplify this damn thing, but I do not wish to lose Creationists.
Now, nearly 750,000 gallons hitting each square meter sounds like a lot. How long does it take accumulate? Well, what do the myths say?
J: Gen 7:4
Because in seven more days I will rain on the Earth, forty days and forty nights, and I will wipe out all the substance that I have made on the face of the Earth.
P:Gen 7:12
And there was rain on the Earth, forty days and forty nights.
Since, 40 days = 40(24 hrs)(60 min/hr)(60 s/min) = 3456000 s we have 0.00081495 m3 of water per m2 of Earth per second = 0.8 Liters/m2E-s = 0.215 193 36 gallons/m2E-s.
Now, what is the pressure exerted by this rainfall? Since 1L = 0.998 kg, the mass of the water per m2E-s is:
0.7984 kg/m2E-s = 1.76 lbs/m2E-s
PSI is pounds per square inch, 1 m2 = 1,550.003100006 inch2, we have 2,728 psi applied every second of this period to the surface area of the Earth. "Googling" home water pressures, you find pipe rated for under 300 psi. A "booster" fire hose gives you only 800 psi.
What type of pressure is that? Since 14.6960 psi corresponds to one atmosphere we are talking about 189 atm applied to the Earth during the 40 day/night period!
That is 189 atm applied to mountains, the ark, et cetera!
Interestingly, 4,600 psf, or 4,600 pounds per square foot, is the pressure created by Hiroshima atomic bomb at the epicenter. Since there are 144 square inches per square foot, that comes to only about 32 psi, a mere 1/83rd of the pressure of the rain.