Question

Shell method

Answer 1

where does y come from?

Answer 2

What are you trying to find now? The volume of solid generated by what?

Answer 3

i can find the volume i just need help finding out where the y came from (highlighted in pink)

Answer 4

What is the axis of rotation of that solid?

Answer 5

about the x axis

Answer 6

\(y\) is the distance between any point on the y-axis to the axis of revolution, so \(y\) is the radius of any one shell.

Answer 7

why wouldn't it be (2-y)?

Answer 8

\(2-y\) is the distance from the y-axis to the line \(x=2-y\):