Hi everyone!

I am having a bit trouble with a question about rotational volume. So, this is the problem:

"An area R in the xy plane is given by:"

0 ≤ x ≤ 1

and

0 ≤ y ≤ x^{3}

Find the volume when rotating R around the axis y = -1

Here is how I was thinking. First, I drew this figure:

My idea was to draw the boundaries, and two radius in red, which I need to find in order to use the washer method. So, I thought the lower boundary must be r(y) = g(y) - c = x^{3}- (-1) = x^{3}+ 1 (The second red line in the picture)

But I am unsure what I should put as the upper boundary (The first radius in the picture).

I hope someone can help and tell me in what way I am thinking wrong.

Thanks!