WEBVTT
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you we're giving a figure which contains a region in
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the line. And we have to find the volume
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of the generated by rotating this region about this line
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. It's just all The region is the region are
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one about the line. Oh see and this is
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in the figure and exercise 20 of this section,
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crush it. Mhm. At my wins. So
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notice that by rotating this region around Oc we're rotating
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around the Y axis. She uh Jason jake.
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Let's talk about your black experiences. It's great.
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I don't know what everyone's complaining about. There we
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go. That's what we're lucky. The and therefore
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we're going to use the washer method. Never.
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Yeah. No, I just just follow the rules
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and you don't get arrested. It's been arrested.
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Like now try me out earning a radius. You
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see that from the figure our our radius Is x
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equals 1 0, which is just one course.
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And the inner radius. Yeah, well this is
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going to be released. There's a cop just Yeah
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, X equals Y. I just did the thing
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I was like that will never happen-6 equals one
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. I started getting more violent. Sorry minus zero
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is equal to Y. And so the volume by
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the washer method life I remember like the so he
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is pi times in the growth from or you know
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white blue or why equals zero of the Y equals
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one of the outer radius one squared most inner radius
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Y squared Dy. And if you evaluate this simple
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integral, the answer is two pi over three car
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. Yeah that didn't exist. You have noticed.