$y=5x^2-x^4$ and $y=0$ between $x=0$ and $x=1$ is rotated about the $y-$axis.

$3\mathrm{.}3.$ Redo problem $2\mathrm{.}1$ when the same region is rotated about the vertical line $x=4.$ Use vertical shells and as part of your work draw a representative rectangle and sketch the resulting thin shell. Give a decimal answer rounded to two decimal places. Solve for $3\mathrm{.}3$ please.