In xyz space, let A be the solid generated by a rotation of the figure, enclosed by the curve y=2−2x2 and the x-axis about the y-axis.(1) When the solid is cut by the plane x=a (∣a∣≤1), find the inequality which expresses the figure of the cross-section.(2) Denote by L the distance between the point (a, 0, 0) and the point on the perimeter of the cross-section found in (1), find the maximum value of L.(3) Find the volume of the solid by a rotation of the solid A about the x-axis.1987 Sophia University entrance exam/Science and Technology calculusintegrationgeometrygeometric transformationrotationinequalitiesperimeter