Question

What integral represents the volume of the solid formed by revolving the region bounded by the graphs of y = x^3 y = 1 and x = 2 about the line x = 2

Answer 1

Hello @Yaros and Welcome to OpenStudy!
Thanks for asking a Qualified Help Question

first try graphing out what you have been given
so that you have a visual representation of what you are looking for :)

Answer 2

your problem can be represented by this drawing:

Answer 3

now I make this traslation:
\[\Large \left\{ \begin{gathered}
x = X + 2 \hfill \\
y = Y \hfill \\
\end{gathered} \right.\]
where X, Y are the new coordinates, furthermore, we can see that the origin of the plane X-Y is lòocated at point x=2,y=0