Let R be the region bounded by $y=8-x^2$ and the x axis.

Use the shell Method to find the volume of the solid obtained by rotating R about the line $x=6\mathrm{.}5.$

Volume $={\displaystyle \underset{-\sqrt[\phantom{2}]{8}}{\overset{\sqrt[\phantom{2}]{8}}{}}}f(x)dx$ where

$f(x)=$

Now integrate $to$ find volume $={\displaystyle \underset{-\sqrt[\phantom{2}]{8}}{\overset{\sqrt[\phantom{2}]{8}}{}}}f(x)dx=$

Round ur ans to $4$ decimal places.