Hey I'm trying to solve this problem and I'm stuck. The integral I'm using to solve this problem is the integral from $0$ to $4$ of $2{\pi}y(27 - (y + 2)^3)$ but the answer isn't correct. Can anyone help me?
2026-04-07 21:20:46.1775596846
Calculating the Volume of a Cylindrical Shell
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You want to find $\int_0^{1} 2\pi r(y)h(y)\;dy=\int_0^{1}2\pi y(32-((y+2)^3+5))\;dy$