Question $10$ of $15$

Use the Shell Method to compute the volume obtained by rotating the region enclosed by the graphs as indicated, about the $y-$axis.

$y=\sqrt[\phantom{2}]{x^{2}2},y=0,x=0,x=4$

Consider the integral used to compute the volume of revolution.

$2{\displaystyle \underset{0}{\overset{4}{}}}\sqrt[\phantom{2}]{x^{2}2}dx$