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A flag is defined by the region between the x-axis and:

Find the volume generated when the flag is rotated about the x-axis. 1-86 HW eTool (Desmos). Homework Help ✎

Sketch the flag. Since we do not know a geometric formula for the 3D figure that this flag will generate, subdivide it into familiar 3-D shapes:

What 3-D shapes will this generate? You should identify three.

a big cone − a small cone + a cylinder

Use the eTool below to view the graph.
Click the link at right for the full version of the eTool: Calc 1-86 HW eTool