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Solids of Revolution

Solids of Revolution. 4-G. Disk method. Revolve about a horizontal axis Slice perpendicular to axis – slices vertical Integrate in terms of x. Revolve about a vertical axis Slice perpendicular to axis – slices horizontal Integrate in terms of y. Find Volume – Disk Method. Washer Method.

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Solids of Revolution

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  1. Solids of Revolution 4-G

  2. Disk method

  3. Revolve about a horizontal axis Slice perpendicular to axis – slices vertical Integrate in terms of x Revolve about a vertical axis Slice perpendicular to axis – slices horizontal Integrate in terms of y Find Volume – Disk Method

  4. Washer Method

  5. Horizontal axis of revolution Slice with rectangle perpendicular to axis Integrate in terms of x Vertical axis of revolution Slice with rectangles perpendicular to axis Integrate in terms of y Volume of Washer: Find Volume – Washer Method

  6. 1) Find the volume of the solid is bounded by the curve y = x and the x-axis between x = 0 and x = 1 rotated about the x-axis

  7. Find the volume of the solid when the region bounded by is revolved about the x-axis

  8. 3) Find the volume of the solid generated when the region bounded by is revolved about the x-axis

  9. 4) Find the volume of the solid generated when the region bounded by is revolved about the line y = 4

  10. 5) Set up the integrals for finding the volume of the solid formed by revolving the region formed by a) About the x-axis b) about y = -1

  11. 6) Find the volume of the solid generated when the region bounded by is revolved about the line y = 3

  12. 7) Find the volume of the solid generated when the region bounded by is revolved about the y-axis

  13. Home Work Finding Volumes of solids using washers and disks worksheet

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