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7.3 Volume: The Shell Method

Learn how to find the volume of a region enclosed by specific curves using the Shell Method in calculus. Step-by-step guide with examples and explanations.

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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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