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Aim: How do we find the volume by disk method?

Aim: How do we find the volume by disk method?. Do Now: Find the area of R. 2. Set up integral. 3. compute. 1. dy or dx ?. R. 3. Find the volume of solid formed by revolving R about x -axis. Find the area of the cross-section that is a disk. R. r. 3. To find the volume,

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Aim: How do we find the volume by disk method?

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  1. Aim: How do we find the volume by disk method? Do Now: Find the area of R 2. Set up integral 3. compute 1. dy or dx ? R 3

  2. Find the volume of solid formed by revolving R about x-axis Find the area of the cross-section that is a disk R r 3 To find the volume, we to integrate the area of the disk from x = 0 to x = 3

  3. Find the area of S y 9 It’s easier to integrate in terms of y S x 3

  4. Find the volume of the solid formed by revolving S about the y-axis y 9 S r = x r x 3

  5. Find the volume of the solid by revolving R about x = 3 R dy r 3 )

  6. Find the volume of the solid formed by revolving S about y = 9 y 9 r S 3 )

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