Use Python (Sympy module) to answer the following questions. Let R be the region bounded by the y-axis, y = sin(x), and y = cos(x) (up to their intersection point. All answers exact and approximate.)

(a) Find the volume of the solid formed by rotating R about the xaxis.

(b) Use disks/slicing to find the volume of the solid formed by rotating R about the y-axis.

(c) After learning the method of cylindrical shells, use it to find the volume in part (b).