Answer
$\frac{243\pi}{5}$
Work Step by Step
Setup the integration using Shell Method
$2\pi \int_0^3 x(\frac{1}{2}x^3) dx$
$2\pi \int_0^3 \frac{1}{2} x^4 dx$
$ 2\pi (\frac{1}{10} x^5 )]_0^3$ Integrate
$ 2\pi ((\frac{243}{10})-0)$
$ \frac{243\pi}{5}$ ,Simplify
