5. Find the volume of the solid generated by revolving the region enclosed by the following curves.
(a) \( y=4-2 x^{2}, y=0, x=0, y=2 \), through \( 360^{\circ} \) about the \( y \)-axis.
(b) \( x=\sqrt{x+9}, x=0, y=1 \), through \( 360^{\circ} \) about the \( y \)-axis.
(c) \( x=y^{2}, y=2, x=0, y=6 \), through \( 2 \pi \) radians about the \( y \)-axis.
(d) \( y^{2}=x-2, y=2, y=-3 \) through \( 360^{\circ} \) about the \( y \)-axis.