Volume using shells

I'm working on a problem of finding volume between two functions using the shell method. The functions given are $f(x)=2x-x\xb2$ and $g(x)=x$. It is reflected across the x-axis.

I solved this previously using washers but the problem asks to solve using two methods. I believe this is a dy problem, thus I am trying to convert the two functions into f(y) and g(y), but I don't understand how to convert f(x) into an f(y). It doesn't seem like it can be solved in terms of y. Maybe I am missing something after looking at this too long.

How would I solve this problem using shells? I am approaching this correctly?

I'm working on a problem of finding volume between two functions using the shell method. The functions given are $f(x)=2x-x\xb2$ and $g(x)=x$. It is reflected across the x-axis.

I solved this previously using washers but the problem asks to solve using two methods. I believe this is a dy problem, thus I am trying to convert the two functions into f(y) and g(y), but I don't understand how to convert f(x) into an f(y). It doesn't seem like it can be solved in terms of y. Maybe I am missing something after looking at this too long.

How would I solve this problem using shells? I am approaching this correctly?