Hello, Quasar!

Welcome aboard!

Your set-up isalmostcorrect . . .

Use the Shell Method to find the volume of the solid:

the region bounded by , about the line

Here is one of the ways I have tried setting this up.

After finding:

. . I Integrate on the x-axis from 0 to 1.

. . . Right!

. .

Did you make a sketch?Code:| | : 5+ - - - - * |:::::* : |::* : |* : - * - - - - + - - - - - - 0 1

The height is: