Volume by cross-sections (possibly misleading)

The basis of a solid is the circle http://www.texify.com/img/%5CLARGE%5...0%3D%2016x.gif. Every cross-section perpendicular to the x axis is a rectangle whose height is twice the distance from the origin of the circle to the plane of the cross-section. Find the volume of the solid.

Note: I don't know what the problem means by "origin of the circle". I assumed it means the center of the circle, (8,0), but I think it could mean instead the origin (0,0).

This is my reasoning: the distance mentioned is http://www.texify.com/img/%5CLARGE%5C%21%7C8-x%7C.gif, so the height of a cross-section is http://www.texify.com/img/%5CLARGE%5C%212%288-x%29.gif, assuming http://www.texify.com/img/%5CLARGE%5...%5Cleq%208.gif. The length of a cross-section is http://www.texify.com/img/%5CLARGE%5...x-x%5E2%7D.gif, so the cross-sectional area is http://www.texify.com/img/%5CLARGE%5...x-x%5E2%7D.gif. Integrate this from x = 0 to x = 8, multiply by 2 to cover the other half of the solid and you find http://www.texify.com/img/%5CLARGE%5...%7D%7B3%7D.gif. But the answer is supposed to be http://www.texify.com/img/%5CLARGE%5C%211024%5Cpi.gif or something like that.

Is this right? Is the problem misleading? Any help would be greatly appreciated.