Lee Boone
08/19/2023 · Middle School

Use the shell method to find the volume of the solid generated by revolving the region bound by \( y=2 x, y=0, x=3 \) about the following lines. \( \begin{array}{lll}\text { a. The } y \text {-axis } & \text { b. The line } x=4 & \text { c. The line } x=-9 \\ \text { d. The } x \text {-axis } & \text { f. The line } y=7 & \text { line } y=-4\end{array} \) a. The volume of the given solid is \( \square \) cubic units. (Type an exact answer in terms of \( \pi \).)

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The volume of the solid is \( 36\pi \) cubic units.

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