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Finding the volume of the sold in the first octant..

**The question:**

Find the volume of the solid in the first octant bound by the graphs of z=1-y^2, y=2x, and x=3.

**My attempt:**

Attachment 23796

The reason why I changed the limits of integration was because I need x,y,z all to be greater than or equal to 0..however, I am not getting the correct answer of 15/8.

Any suggestions?

Thanks,

Mike.

Re: Finding the volume of the sold in the first octant..

Your limits are off.

It should be clear that

So your integral should be

1 Attachment(s)

Re: Finding the volume of the sold in the first octant..

Quote:

Originally Posted by

**Prove It** Your limits are off.

It should be clear that

So your integral should be

Thank you for your response.

I originally had my limits set up that way, and my final answer was still off..as it was calculated to be -45.

Maybe there is something wrong with my calculations..

Attachment 23801

any thoughts?

Thanks