Show step by step work using cylindrical shell method to find the volume of the solid formed by revolving the given region about the y-axis.
22) the region bounded by the curve y=SQRT(x), the y-axis, and the line y=1.
24) the region bounded by the parabolas y=x^2, y=1-x^2, and y axis for x≥0.
26) the region inside the ellipse 2(x-3)^2 + 3(y-2)^2 = 6 about the y axis.
The cylindrical shell method is used to find the volume of a solid of revolution.