Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the x-axis.
x=1+(y-2)^2
x=2

The answer is supposed to be 16pi/3 but I am getting something different. I am kind of confused as to how you determine the radius.

Question

Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the x-axis.
x=1+(y-2)^2
x=2

The answer is supposed to be 16pi/3 but I am getting something different. I am kind of confused as to how you determine the radius.

amistre64 · Answer

what axis value are you spose to rotate it around?

amistre64 · Answer

the radius is a byproduct of measureing outward from the axis of rotation.

anonymous · Answer

What do you measure to though? I can see from the graph that the distance from the axis of rotation to the line is 1. So would the radius just be y? or y+1?

amistre64 · Answer

what is the axis of rotation?

amistre64 · Answer

|dw:1347999392192:dw|
this is the area to spin; but i cant see an axis provided in the post to rotate it around