6.2 Volumes/9

$y^{2}=x,x=2y$

Failed to parse (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\begin{aligned}\int _{0}^{4}\pi [2y-y^{2}]dx&=\pi [2(4)-(4)^{2}]\\[2ex]&=\pi [8-16]\\[2ex]\end{aligned}}}

$={\frac {64pi}{15}}$