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L39 More Volumes

# L39 More Volumes - ± ± ± 3 Determine the limit of...

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L39{ Volume of Solid not generated as solids of revolution The Volume V = R b a A ( x ) dx , V = R d c A ( y ) dy where A ( x ) ; A ( y ) are cross-sectional area. Question: How to nd the cross-sectional area of such solids? A few suggestions to consider: 1. Sketch the solid 2. Determine the cross-sectional area (you may need to use Pythagorean Thm, Similar triangle propor- tion, 30-60-90 triangle

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Unformatted text preview: ± ± ± ) 3. Determine the limit of integration 4. Integrate the area 1 ex. Find the volume of a pyramid whose base is a square with sides of length L and whose height is h . 2 ex. Find the volume of the solid whose base is a disk of radius r and whose cross-sections are equilateral triangles. 3...
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L39 More Volumes - ± ± ± 3 Determine the limit of...

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