I am a graduate student in Biomechanics and I am trying to measure the volume of a shape that looks like a cone, but with a base that is not a circle. I am calling this shape a "conoid," but I am not sure if that is the correct geometric term.
The base shape is quite irregular (like an aoemba), but I know the area of the base. I also know the perpendicular height between the apex and the base. The apex is not directly below the base, but actually off to the side a bit. The sides of the conoid surface, as you go from the apex to the perimeter of the base, are straight, so the "slices" of the conoid are the same shape as the base, but different sizes.