6.) Consider the region bound by $y = \frac{1}{2}x$, $y = 1$, and the $y$-axis and the solid of revolution formed by revolving the region around the $y$-axis.
\begin{itemize}
\item Graph the region bounded by the curves and shade in the area between the curves. Label everything including the $x$- and $y$-axis and both curves.
Select an answer
\item Sketch one representative vertical rectangle on the graph with all dimensions labeled and sketch a slice of the solid of revolution on the graph.
Select an answer
\item Separate from the graph, sketch a representative slice of the solid of revolution and label all dimensions. Select the type: Select an answer
\item Represent the volume of the solid as an integral.
Lower Bound: Select an answer
Upper Bound:
$\int_{\text{Select an answer}}^{\text{Select an answer}} \text{Select an answer} = \int_{\text{}} \text{}$
\item Evaluate the integral: $\Box$
\end{itemize}
