Using the Shell method to find the volume of a solid

[Zuni Tiberius]

Use the shell method to find the volume of a solid generated by revolving the region bounded by the given curves and lines about the x-axis.

x=2√y
x=-2y
y=1

So I drew a graph and then using the equation v=∫2πrh

and I got the following

v=∫(from 0 to 2) 2π(y-1)((2√y)-(-2y))

but this is wrong. any suggestions?

 

[vela]

I got the following

v=∫(from 0 to 2) 2π(y-1)((2√y)-(-2y))

but this is wrong. any suggestions?

Why do you have (y-1) for the radius? And why are your limits 0 to 2?