6.) Consider the region bound by y = (1)/(2)x, y = 1, and the y-axis and the solid of revolution

Step 1: Graph the region bounded by the curves y = (1)/(2)x, y = 1, and the y-axis.

Question

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}

          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}

6.) Consider the region bound by y = (1)/(2)x, y = 1, and the y-axis and the solid of revolution formed by revolving the region around the y-axis.

* 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

* 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

* Separate from the graph, sketch a representative slice of the solid of revolution and label all dimensions. Select the type: Select an answer

* Represent the volume of the solid as an integral.
Lower Bound: Select an answer
Upper Bound:
∫Select an answer^Select an answerSelect an answer = ∫

* Evaluate the integral:

Added by Ryan D.

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