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Published byBreanna Buffum Modified over 3 years ago
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Volumes of a Solid The volumes of solid that can be cut into thin slices, where the volumes can be interpreted as a definite integral.
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Slicing the solid into thin slabs
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The formula of volume of Solid The volume V of the solid should be given approximately by the Riemann sum
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Solids of Revolution 1. The Method of Disks 2. The Method of Shells
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Example Let R be the regions bounded by the graphs of and Compute the volume of the solid formed by revolving R about yaxis
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Revolving about yaxis
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The Method of Disks
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The Method of Disks (2)
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Revolving about xaxis
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Revolving about xaxis (animate)
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The Solid by revolving about xaxis
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Example Let R be the regions bounded by the graphs of and Compute the volume of the solid formed by revolving R about yaxis
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Example(continued)
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Example Let R be the regions bounded by the graphs of and Compute the volume of the solid formed by revolving R about xaxis
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Example(continued)
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