### Home > CALC > Chapter 8 > Lesson 8.2.1 > Problem 8-70

8-70.

**Multiple Choice:**The volume generated by revolving the region enclosed by the graphs of*y*= 2*x*and*y*= 2*x*^{2}for 0 ≤*x*≤ 1 about the*x*-axis is: Homework Help ✎

Sketch the graph and shade flag.

Sketch the axis of rotation. This will help you visualize the resultant 3D solid.

Choose a method:

Determine the bounds of integration by solving a system of equations. You might write your bounds as *x*- or *y*- values, depending on the method you chose in the previous step.

Your integrand should should be written in terms of the same variable as the bounds.