No, no no, and again: no! The Earth would NOT look like this without water. Please stop sharing this nonsense.
Here some numbers: the Earth has a diameter of about 12,735 kilometers (on average). The highest point on Earth is the top of Mt. Everest, at 8.85 km. The deepest point on Earth is the Mariana Trench, at about 11 km deep. Make the calculations and you can see, the Earth definitely would NOT look like below without water:
The image above is actually shows Earth’s gravitational field, and the variations in this geoid height are thousand times exaggerated (“Earth potato”), in reality the Earth’s shape is very close to a sphere (for more details, see the reference paper). It is produced with MATLAB, and the original title is “MATLAB script for 3D visualizing geodata on a rotating globe”. MATLAB (matrix laboratory) is a multi-paradigm numerical computing environment and fourth-generation programming language (wikipedia).
You can see the original paper by clicking here.
And this is actually what the Earth would look like without water below:
The drawing above shows blue spheres representing relative amounts of Earth’s water in comparison to the size of the Earth. Are you surprised that these water spheres look so small? They are only small in relation to the size of the Earth. This image attempts to show three dimensions, so each sphere represents “volume.” The volume of the largest sphere, representing all water on, in, and above the Earth, would be about 332,500,000 cubic miles (mi3) (1,386,000,000 cubic kilometers (km3)), and be about 860 miles (about 1,385 kilometers) in diameter.
The smaller sphere over Kentucky represents Earth’s liquid fresh water in groundwater, swamp water, rivers, and lakes. The volume of this sphere would be about 2,551,000 mi3 (10,633,450 km3) and form a sphere about 169.5 miles (272.8 kilometers) in diameter. Yes, all of this water is fresh water, which we all need every day, but much of it is deep in the ground, unavailable to humans.
Do you notice the “tiny” bubble over Atlanta, Georgia? That one represents fresh water in all the lakes and rivers on the planet. Most of the water people and life on earth need every day comes from these surface-water sources. The volume of this sphere is about 22,339 mi3 (93,113 km3). The diameter of this sphere is about 34.9 miles (56.2 kilometers). Yes, Lake Michigan looks way bigger than this sphere, but you have to try to imagine a bubble almost 35 miles high—whereas the average depth of Lake Michigan is less than 300 feet (91 meters).