$2\mathrm{.}1.$ Use vertical shells to find the volume when the region $$ bounded by curves $y=5x^2-x^4$ and $y=0$ between $x=0$ and $x=1$ is rotated about the $y-$axis. As part of your work draw a representative rectangle in the picture and sketch the resulting thin shell. Give an exact answer. NOTE: copy and paste the graph to your blank sheet.