[Math] Finding Volumes Using Cylindrical Shells

So I pretty much understand what I'm doing. This is the question that I just can't seem to figure out.

Find the volume of the solid created by rotating x=1-y^4 (0<=x<=1) around x=3.

I solve for y >> y=(1-x)^(1/4) and do the integration.

2pi * integral((3-x)((1-x)^(1/4)), x, 0, 1)

I keep getting the wrong answer, 184pi/45. Anyone have any ideas to what I'm doing wrong?

Um, are you sure you're defined the stuff correctly? I.e. you're trying to find the volume w.r.t. 0<=x<=1, but then you say you want it around x=3. I don't understand the terminology :-S.

I don't think you can use maths symbols on ZU so I did it in MS Word and then screenshotted it. Is this helpful?

This is the wrong method for this type of revolution. That is the disk method. I need to use the cylindrical shell method. What I meant was you integrate it from x = 0 to x = 3 and you revolve it around x = 3.

Ok, cool, I think I understand now.

I got ~16.75, is that correct? If it is I'll explain my reasoning.

I dunno, it was an online submission and it was too late to turn it in. Oh well, thanks for the help.

Ah, I see. If they ever publish answers please tell me whether I was correct.

And I'm glad to help anytime ^__^.

I can tell you how to get the answer if you would still like to know. Just holler.

Let know in PMs, yo.

*locked*