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## Homework Statement

The region bounded by the given curves is rotated about x = 10

[tex]

x=1-y^{4}, x=0

[/tex]

Find the Volume V of the resulting solid by any method.

## Homework Equations

## The Attempt at a Solution

I'm using the washer method. Not sure if it is being setup properly as I'm getting the wrong answer. I will show my integration steps if the problem is setup correctly. Thanks.

[tex]

\begin{alignl*}

1-y^{4}=0 \\ \\

y^{4}=-1 \\ \\

\Rightarrow y=\pm1 \\ \\

10^{2}-((1-y^{4}))^2 \\ \\

\pi \int_{-1}^{1} (10^{2}-((1-y^{4}))^2 dy \\ \\

= \frac{8936\pi}{45} \\

\end{alignl*}

[/tex]

Hmm can't edit my LaTex code. That integral should have Pi out front.

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