hello. i have problem with spin solid to find volume.

this is google translate of problem with help of math writing online program:

find the volume of the area bounded by: $\displaystyle x = 1-y^4$, x = 0 around x=2

$\displaystyle x = 1-y^4$ is same as $\displaystyle y=\sqrt[4]{1-x}$, yes? so is ring method:

$\displaystyle \pi\int_{0}^{1}(x-1)^2 -(\sqrt[4]{1-x})^2 dx$

this is okay?

thank you. sorry for bad english