Is there another name for the volume Swept through in maths Graphs ?

[Totter]

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 can't 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.

 

[Mark44]

Is there another name for "the volume Swept through" in maths "Graphs" ?
No matter how and where I search I can't 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.

They're asking for the volume of the solid of revolution. Your textbook should have a number of examples of this type of problem.

Also, I am moving this thread to the Calculus & Beyond section.