Volume of a solid

[amiv4]

Find the volume of the solid obtained by rotating the region bounded by the given curves about the line x=7
x=y^6
x=1

 

[skeeter]

washers ...

R = 7 - y[sup:1r0g7epd]6[/sup:1r0g7epd]
r = 7 - 1 = 6

determine the limits of integration and calculate the volume.