The combination of a horizontal axis and a vertical axis is called a Cartesian coordinate system, or in short, a graph.
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Time is plotted on the HORIZONTAL axis. That may or may not be the x-axis. If I choose to call the distance X, then X will be plotted on the vertical axis!
According to the ideal gas law, pressure times volume is constant. We'll call that constant c. PV=C, P=c/V, so pressure is inversely related to volume, so it would look like the graph y=1/x multiplied by a constant.
Check out "horizontal cylindric segment" in Wolfram Alpha Online. That is the correct term for the solid you are looking for. Wolfram Alpha - "The solid cut from a horizontal cylinder of length L and radius R by a single plane oriented parallel to the cylinder's axis of symmetry (i.e., a portion of a horizontal cylindrical tank which is partially filled with fluid) is called a horizontal cylindrical segment."
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