Find the volume for a solid generated when the area between the functions $f(x)=sinx$ and $g(x)=(x-2{)}^2+3$ bounded by the lines $x=0$ and $x=3$ is rotated about the line $y=-1.$

Calculator allowed.

$157\mathrm{.}174$

$220\mathrm{.}069$

$70\mathrm{.}050$

$50\mathrm{.}030$