Find the volume of the solid bounded by the curves y=x^3, y=1, and x=0 is revolved about the line x=3. Use the shell method.

Find the volume of the solid bounded by the curves xy=4 and x+y=5 is revolved about the x-axis.

Find the volume of the solid that is generated when the triangle formed by the vertices (0,0), (0,r), and (h,0) where r>0 and h>0 is revolved about the x-axis