Volume integral with 3 formulas mmn 15 3a

nhrock3
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find the volume inclosed by z=0 x=y and y^2+z^2=x

i am having trouble drawing it
i know i should look on th shadow of it on the x-y plane and integrate by it
2u4kc2h.jpg
 
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You would probably get more responses if you took more care in how you present the problem and the work you've done. For this problem your scanned image displays sideways and is too big to fit on the screen without scrolling. Your image is 1600 pixels X 1200 pixels. The maximum should be about 800 X 600 pixels.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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