Mathematics, 29.04.2022 02:50 carinaorcutt
Find the volume of the solid produced by rotating this two-dimensional shape using the axis shown.
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Answers: 2
![\textit{volume of a ring}\\\\ V=\pi (R^2-r^2)~~ \begin{cases} R=\stackrel{larger}{radius}\\ r=\stackrel{smaller}{radius}\\[-0.5em] \hrulefill\\ R=3\\ r=1 \end{cases}\implies V=\pi (3^2-1^2)\implies V=8\pi \\\\\\ \stackrel{\textit{\large volume of the hollow cylinder}}{\stackrel{\textit{volume of the ring}}{(8\pi )}\qquad \stackrel{length}{(6)}\implies 48\pi ~~\approx~~150.80}](/tpl/images/2744/5077/4d109.png)
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Find the volume of the solid produced by rotating this two-dimensional shape using the axis shown....
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