# Shell method

Not what you're looking for? Search our solutions OR ask your own Custom question.

Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the y axis.

1. y=x. Line goes from (0,0) to to (2,2). Picture shows a thin yellow rectangle going from about x=1.5 vertical to the y=x line.

2) y=sq. root of x. Line goes from (0,0) to to (4,2). Picture shows a thin yellow rectangle going from about x=2.5 vertical to the y=sq. root of x line.

5) y=x^2, y=0,x=2

7) y=x^2, y=4-x^2

9) y=4-x^2, x=0, y=4

Â© BrainMass Inc. brainmass.com December 24, 2021, 5:03 pm ad1c9bdddfhttps://brainmass.com/math/integrals/shell-method-24103

#### Solution Summary

There are several problems using the shell method to find the volume of a solid created by revolving an equation around the axis.

$2.49