Can anyone validate this equation???
Mean radius of the Earth at sea level = 6371km
Elevation of Pikes Peak = 4,300m
Elevation of Mt. Everest = 8848m
Now, if the Earth truly were flooded like the stories say, we can reasonably assume the water level would need to rise to somewhere between these two in order to really kill off everything that was not onboard the boat. For argument's sake, we'll call it 6,500m.
So what we need to do here is find the volume of this larger sphere, which is Earth's radius + the extra 6,500m and then subtract the volume of the earth's radius at sea level.
Volume of a sphere is 4/3πr^3
Roughly, the volume of the earth is 1083206916845753700547 cubic meters.
Volume of Earth + 6,500m = 1086525719613182361802 cubic meters.
Subtract the first from the second and we get 3318802767428661255 cubic meters.
The tricky part here is to determine how much of this "shell" consists of land. The estimated average of Earth's exposed land is 875 meters, but the oceans cover approximately 71% of the earths surface. Crunching some numbers, we can take about 2806162187 cubic meters out of this shell. That leaves roughly 3318802764622499067 cubic meters that needs to be filled with water to flood most of the earth. That is 8.7673494 x 10^20 gallons.
876734940000000000000 gallons.
For comparison's sake, the Pacific ocean is about 187189915000000000000 gallons.
The total volume that would need to be flooded, going by my math, is roughly equal to 4.6 additional Pacific Oceans.
Where did that water go? Where did it come from? Well...
Mean radius of the Earth at sea level = 6371km
Elevation of Pikes Peak = 4,300m
Elevation of Mt. Everest = 8848m
Now, if the Earth truly were flooded like the stories say, we can reasonably assume the water level would need to rise to somewhere between these two in order to really kill off everything that was not onboard the boat. For argument's sake, we'll call it 6,500m.
So what we need to do here is find the volume of this larger sphere, which is Earth's radius + the extra 6,500m and then subtract the volume of the earth's radius at sea level.
Volume of a sphere is 4/3πr^3
Roughly, the volume of the earth is 1083206916845753700547 cubic meters.
Volume of Earth + 6,500m = 1086525719613182361802 cubic meters.
Subtract the first from the second and we get 3318802767428661255 cubic meters.
The tricky part here is to determine how much of this "shell" consists of land. The estimated average of Earth's exposed land is 875 meters, but the oceans cover approximately 71% of the earths surface. Crunching some numbers, we can take about 2806162187 cubic meters out of this shell. That leaves roughly 3318802764622499067 cubic meters that needs to be filled with water to flood most of the earth. That is 8.7673494 x 10^20 gallons.
876734940000000000000 gallons.
For comparison's sake, the Pacific ocean is about 187189915000000000000 gallons.
The total volume that would need to be flooded, going by my math, is roughly equal to 4.6 additional Pacific Oceans.
Where did that water go? Where did it come from? Well...