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Math Help - Volume of curve on graph

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    Volume of curve on graph

    Refer to the figure and find the volume generated by rotating the given region about the specified line.

    a) R1 about OC
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    Quote Originally Posted by racewithferrari View Post
    Refer to the figure and find the volume generated by rotating the given region about the specified line.

    a) R1 about OC

    using cylindrical shells w/r to x ...

    V = 2\pi \int_0^1 x^4 \, dx


    using washers w/r to y ...

    V = \pi \int_0^1 (1)^2 - (\sqrt[3]{y})^2 \, dy
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