Find the volume of the rotated function

tblaze

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Find the volume in the first quadrant bounded by y=x^6, y=1, and the y-axis about the line y=-2.

I know this will be dx problem, rotated over y=-2, and with bounds. However, the equation I have written down is not the answer.
Is it not pi*r^2? Or am I not thinking about the problem the right way?
 

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What does your book mean by finding a "volume" (a three-dimensional value) in a "quadrant" (a two-dimensional place)?
 
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