There are a few forces acting which mean no, not exactly.
The moon (and the sun to a lesser extent) make the ocean bulge at zero degrees and 180 degrees to the other body. This is the cause of the tides.
You also have the centrifugal effect near to the Earth’s equator, although the Earth itself does bulge about 40km at the waist.
And there is the effect of gravity which is non-uniform due to the large scale variations in density within the Earth.
It really depends on how accurate you want to be.
On the basic scale yes. Compare how smooth a billiard ball is, to the Earth, if shrink down to that same size. The Earth is actually smoother than that billiard ball even with mountains and ocean trenches.
But perfectly following the curvature? No. Tires alone mean there are two slight bulges of a few meters on either side of the Earth. But what’s a couple meters compared to a diameter of nearly 13,000,000 meters? Even my. Everest at 9,000 meters barely registers on that scale (only 0.06 %)
if you have a giant ocean sized pool, suspended and isolated from other vibrations and forces (like the moon) other than Earth’s gravity itself then yes, the water will perfectly follow the curvature of the earth.
but because we cant do that obviously. when you take into consideration things like the moon causing tides, winds, and underwater earthquakes, the water is not going to perfectly match the Earth’s curve almost ever.
side note, i would be willing to bet that if you took the AVERAGE potion of all the major bodies of water relative to the average curve of the earth, it would be pretty consistent.
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