WEBVTT
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given a figure that looks something like Thus we know
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that if we sketch the cylindrical shell, it probably
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looks something like this. Why is sign of X
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squared as given in the problem? Therefore, what
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we know, given this is that if the circumference
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is to pie attacks, the height is sign of
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ax squared. Those are two of the things as
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part of the answer thin. The volume is from
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our bounds zero to square root of pi to pi
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X times sign of ax squared As I just said
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earlier, we're just multiplying these two, which I
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announced. Now we know that when we integrate we
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we can first pull out our Constance so pi times
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the integral from zero to pie of sine of t
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DT Remember, the integral of sine is pretty straightforward
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. It's simply negative co sign of tea and then
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we all said the pile on the outside from zero
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to pie, which gives us now we can plug
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in pied times negative coastline of pi plus Ron which
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is simply pipas pie which is to pie