- #1

silicon_hobo

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**[SOLVED] Finding/sketching volume with the washer method**

## Homework Statement

Consider the region bounded by the curves [tex] y=x^2+1[/tex] & [tex]y=3-x^2[/tex]. a) Using the disk/washer method, find the volume of the solid obtained by rotating this region about the x-axis. b) Setup the integral for finding the volume of the solid obtained by rotating this region about the x-axis. In each case, draw a diagram, indicating a typical "strip" (and its slice).

## Homework Equations

## The Attempt at a Solution

I'm pretty sure the first one is right wrt x.

http://www.mcp-server.com/~lush/shillmud/inta1.6.JPG

Is this the correct way to set it up wrt y? Is there a simpler way?

http://www.mcp-server.com/~lush/shillmud/intb1.6.JPG

Also, what should I draw to "indicate a 'strip'"? I see the words strip, slab, and slice often used in a seemingly interchangeable fashion. What are they asking for here? Thanks for reading.