# Thread: Find the volume generated by rotating the given region about the specified line?

1. ## Find the volume generated by rotating the given region about the specified line?

2. Using the washer method, the volume of revolution about the x-axis is:

$V_x=\pi\int_0^1 (x-x^6)dx$

You can do the volume around the y-axis:

$V_y=\pi\int_0^1\bigg(g(y)^2-h(y)^2\bigg) dy$