x = 12(y^2 - y^3)
Use the cylindrical shell method to find the volume of the solid generated by revolving the shaded region about the indicated axis.
a) the x-axis
b) the line y = 1
c) the line y = 8/5
d) the line y = -2/5
If you can show me the method, I can do the rest.

Question

x = 12(y^2 - y^3) 
Use the cylindrical shell method to find the volume of the solid generated by revolving the shaded region about the indicated axis. 
a) the x-axis
b) the line y = 1
c) the line y = 8/5 
d) the line y = -2/5 
If you can show me the method, I can do the rest.

abb0t · Answer

Area = 2π(radius)(height) 
Since you're working with y-axis. I believe the graph looks like this:
 |dw:1358226362244:dw|

abb0t · Answer

If you're rotating about (a). then you have: |dw:1358226438703:dw|