Question $1(3$ points$)$

The integral ${\displaystyle \underset{-1}{\overset{1}{}}}(1-y^2{)}^{2}dy$ represents the volume of the solid generated by:

Rotating the region bounded by the curve $f(y)=1-y^2$ and the $y-$ axis about the $y-$axis

Rotating the region bounded by the curve $f(y)=(1-y^2{)}^2$ and the $y-$axis about the $y-$axis

Rotating the region bounded by the curve $f(y)=1-y^2$ and the $y-$ axis about the $x-$axis

Rotating the region bounded by the curve $f(y)=(1-y^2{)}^2$ and the $y-$axis about the $x-$axis