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7.3 Volume: The Shell Method

7.3 Volume: The Shell Method. h = height of the rectangle. w = width of the rectangle. r = distance between the axis of revolution and the center of the rectangle. h. w. r. Note: If this shell is cut apart and flattened, it forms a rectangular prism. w = dx.

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7.3 Volume: The Shell Method

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  1. 7.3 Volume: The Shell Method

  2. h = height of the rectangle w = width of the rectangle r = distance between the axis of revolution and the center of the rectangle h w r Note: If this shell is cut apart and flattened, it forms a rectangular prism.

  3. w = dx

  4. Horizontal axis of revolution Vertical axis of revolution

  5. Find the volume of the region enclosed by y = x2, y = 0, and x = 2. about the y-axis r = x h = y

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