please for each volume problem, draw the coordinate plane and a picture of the solid. Also, draw a thin cross-section of a cylindrical shell. Then show a sequence of logical steps involving an integral to compute the volume.

For each volume problem, draw the coordinate plane and a picture of the solid. Also draw a thin crosssection or a cylindrical shell. Then show a sequence of logical steps involving an integral to compute the volume. 6. Find the volume of the solid formed when the region bounded by the xaxis, the lines 2: = 1 and x = 2. and the curve with equation 3; = x3 x2 + 1 is revolved about the yaxis. '3". The base of a solid is the region bounded by the x-axis and the semicircle JF = 1.I' 16 x2. Each cross section perpendicular to l[he xaxis is a square. Find the volume of the solid. 8. The region bounded bythe curves 3: = 4.1:(1 x] and 3,1 = 4x(1 x] is revohred about the line x = 2. Find the volume of the solid that is formed