Hello, calnix!

Did you make a sketch?

Use the Shell Method to compute the volume of the solid obtained

by rotating the region bounded by: about the y-axis.Code:| * * | * * | *| * * | |:* * * | |:::* * * | |::*:* * | |* : * * | * | : * - - - - - - - * - - + - + - - | 1½ 2 |

Formula: .

The two parabolas intersect at

We have: .

Go for it!