$1)$ Find the volume of the solid obtained by rotating the region bounded by $y=x^2+4,x=-1,x=2,$ and $y=0$ about the $x-$ axis.

$2)$Find the volume of the solid obtained by rotating the region bound by $x=\sqrt[\phantom{2}]{4-y}$ and $y=-2x+4$ about the $y-$axis.

$3)$ Find the volume of the solid obtained by rotating the region bounded by $y=4-a{b}_2,c=0,$ and $y=0$ about the line $y=-2.$

Please provide work and answers, thank you$<mn>3</mn>$