In the coordinate space, define a square S, defined by the inequality ∣x∣≤1, ∣y∣≤1 on the xy-plane, with four vertices A(−1, 1, 0), B(1, 1, 0), C(1,−1, 0),D(−1,−1, 0). Let V1 be the solid by a rotation of the square S about the line BD as the axis of rotation, and let V2 be the solid by a rotation of the square S about the line AC as the axis of rotation.(1) For a real number t such that 0≤t<1, find the area of cross section of V1 cut by the plane x=t.(2) Find the volume of the common part of V1 and V2. calculusintegrationanalytic geometryinequalitiesgeometrygeometric transformationrotation