You can do it with shells or disks. But don't forget to add on the rectangular region from 0 to 1. See it?. It is

or

This is one way to go about it.

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- Feb 4th 2008, 03:48 PM #1

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- Sep 2007
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## One more question :P

How do you SET UP this question? I can probably do it if I set it up, but I just don't know how to set it up. Also, please EXPLAIN how to set it up so I can set up other problems like this.

Let V be the region bounded by the , , , and . Find the exact volume by rotating V around the y-axis.

My attempt:

. .

- Feb 4th 2008, 04:28 PM #2

- Feb 4th 2008, 04:58 PM #3

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- Sep 2007
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- 56

Thanks for clearing that up. It makes a lot more sense now.

One more question though...

Let's say that you had , but this time the region is bounded by the the and the lines and . Of course you still rotate the region around the y-axis, but how would the problem change when you set it up?

- Feb 4th 2008, 05:53 PM #4