I am stuck on a problem that asks to find the volume using cylindrical shells within the curves $y=x^2, x=y^2$ rotated around $y=-3$. I derived the formula: $2\pi\int_{0}^{1}\left(\left(y+3\right)\left(\sqrt{y}-y^{2}\right)\right)dy$, but my checker says my answer is wrong. Any help is appreciated!
2026-04-13 14:01:43.1776088903
Am I setting up the radius or the height incorrectly?
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