## Calculus 10th Edition

$\frac{16\pi}{3}$
Setup the integration using Shell method. $2\pi \int_0^2 x(x)dx$ $2\pi \int_0^2 x^2dx$, Integrate $2\pi (\frac{x^3}{3})]^2_0$, Take the definite integral $2\pi((\frac{8}{3}) - 0)$ $\frac{16\pi}{3}$