$f(x)$满足$\int\frac{f(x)}{\sqrt{x}}dx=\frac16x^{2}-x+C,L$为曲线$...

$f(x)$满足$\int\frac{f(x)}{\sqrt{x}}dx=\frac16x^{2}-x+C,L$为曲线$y=f(x)(4\leq x\leq9),L$的弧长为$s$,$L$绕$x$轴旋转一周所形成的曲面的面积为$A$,求$s$ 和$A$

$\frac{425\pi}{9}$