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Explain why the pony didn't drown when crossing the river with mathematical knowledge
First, the distance from pony head to toe is greater than the depth of water.

Second, the density of ponies is smaller than that of water. According to the law of buoyancy, the buoyancy of an object is equal to the gravity of the object pressing out of the water, and the gravity of the pony pressing out of the water is equal to the gravity of the pony. Part of the pony is out of the water and will not be drowned.