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Please look at the photo. In the photo, is a drawing of a casting furnace, with melted aluminum at the level of where the door starts. Assume that we have 2 different riser tubes inside this casting furnace, one with an inner diameter of 1.5" and the other one with an inner diameter of 2.5"... and assume we start to apply pressure into the casting furnace, causing the melted aluminum to start rising in the riser tube. At any given time, which riser tube will have a higher level of melted aluminum inside? In other words, which riser tube will start to fill up higher?

My common sense leads me to believe that the one with the smaller diameter since the applied pressure is the same (assume 14 psi).

Is there a formula/equation/law that can prove this?

Thanks!

My common sense leads me to believe that the one with the smaller diameter since the applied pressure is the same (assume 14 psi).

Is there a formula/equation/law that can prove this?

Thanks!