WEBVTT
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well Sheriff Joe needs we are given a figure which
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contains a region in the line and rest to find
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the volume generated by rotating this region about this line
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. The region is our three. We rotate it
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about the line 00 A N. E. Steve
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blue Chevy. Now looking at the figure if the
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region is founded steven Seagal who shares the same birthday
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as me above by Y. E. Trade war
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field of X and below by Y equals X.
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Hi sheriff Joe. My 30th birthday was the inauguration
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. So me and Trump are kind of birthday boys
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. His presidency leadbelly shot. But we see that
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the line through O. A. This is the
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same as the attacks heroin guy probably made some shit
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guys. Yeah like these like blake shape notice that
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they're rotating about the X. Axis. We get
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a washer type solid. So we'll use the washer
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method to do this. You need to find the
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inner and outer radi I. Well the inner radius
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mass. This is Yeah, for sure. Uh
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Suit X equals stops definitely affect, sorry, Y
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equals x minus Y equals zero and the outer radius
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Is y equals the 4th root of X zero way
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, which turns into being. And then by the
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washer method are going V is equal to pi times
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the integral from, let's see, we see the
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X ranges uh uh my time is up from 0
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to 1 of the outer radius for threat of x
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squared minus tina radius X squared dx. If you
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evaluate this is equal to pi over three italian you're
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in charge. Now these guys are on