Find the volume of the ellipsoid(楕圆球) obtained by rotating the ellipse 16x2+9y2=1 about the (1) x-axis; (2) y-axis, by using (i) the Disk Method and (ii) the Shell Method. 2. Find the volume of the solid obtained by rotating the region bounded by the curves x=4y2 and y=4x2 about the y-axis by (1) the Disk's Method; (2) the Shell's Method. 3. Find the volume of the solid obtained by rotating the region bounded by the curves y=x2 and y=2x about the line (1) y=4; (2) x=−2 by (i) the Disk Method and (ii) the Shell Method. 4. Find the volume of the solid obtained by rotating the region bounded by the curves y=4x−x2 and y=8x−2x2 about the line x=−2.
