Is there another name for "the volume Swept through" in maths "Graphs" ? Is there another name for "the volume Swept through" in maths "Graphs" ? No matter how and where I search I cant find anything showing me how to get the "the volume swept through" of a graph and yet they ask it just like that in one of my assignments :(. Heres the question. Sketch the parabola y=2x^2 +5 and the line y=3x+4 on the same set of axes. The segment cut off from the parabola y=2x^2 +5 by the line y=3x +4 is rotated around the x-axis once.Determine the volume swept through.