It's too long since I took physics but I thought that the height would be equal. One is an actual rainbarrel, with faucet already installed:
Once I turned on the connecting hose, the water did flow from the original one to the Rubbermaid, but stopped before the water heights equalized. I checked the connection but there was no blockage. I walked away puzzled.
It rained some yesterday, and both barrels are much fuller, but again, the water heights are not identical.
So I guess the height of water in two dissimilar barrels, connected by a hose, will not be the same but will vary depending on the diameter or width of the barrels? Not what I remember, but that wouldn't be the first time.