By physical measurements as per standard API 2551 and/or by liquid filled or water draw method as per Standard API 2555. There's also an equation that looks a little difficult.
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Volume of a cylindrical tank in cubic units: pi*radius2*height
It is pi*r2*h where r is the radius of the tank and h is the height of the liquid.
The sewage pipe from the home to the tank must drop from the horizontal between 1 in 80 and 1 in 40 to ensure the water and solids stay together in transit.
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."
A horizontal line.A horizontal line.A horizontal line.A horizontal line.