$2\mathrm{.}2$ Determining Volumes by Slicing: Problem $5$

$(6$ points$)$

The volume of the solid obtained by rotating the region enclosed by

$y=x^3,y=25x,x0$

about the line $y=0$ can be computed using the method of disks or washers via an integral

$V={\displaystyle \underset{a}{\overset{b}{}}}$

with limits of integration $a=$ and $b=5$

The volume is $V=$

$(1)$ cubic units.

Note: You can earn full credit if the last question is correct and all other questions are either blank or correct.