# Volume of a solid

• Jan 27th 2010, 08:16 PM
jsl
Volume of a solid
I have done these kind of problems before, but for some reason, the e is throwing me. Any help you could give me would be great! Thanks!

The region bounded by http://webwork2.math.utah.edu/webwor...3e0cc93ca1.png, http://webwork2.math.utah.edu/webwor...c80bad88c1.png, http://webwork2.math.utah.edu/webwor...c67fef88e1.png, and http://webwork2.math.utah.edu/webwor...9a70c4f3b1.png is revolved about the http://webwork2.math.utah.edu/webwor...22b824af51.png-axis. Find the volume of the resulting solid.
• Jan 27th 2010, 08:20 PM
ANDS!
Is it x-squared or 2x? Because, unless I'm just drawing a stupid blank here, but that is not a simple function that can be integrated, especially if you're at second semester calculus doing volumes of a solid. The "e" in and of itself isn't bad - it is the -x^2 that is the issue here.
• Jan 27th 2010, 08:31 PM
jsl
It's x-squared. And I'm drawing the same blank. I can't find anything in my book about it, so I'm pretty lost.
• Jan 27th 2010, 08:36 PM
VonNemo19
Quote:

Originally Posted by jsl
It's x-squared. And I'm drawing the same blank. I can't find anything in my book about it, so I'm pretty lost.

1. Sketch graph

2. Draw a reresentative element
• Jan 27th 2010, 09:11 PM
Calculus26
Are you using the shell method ? Because if you are you end up with a simple integral