CPM Homework Help : APCALC Problem 2-128

Rotate the flag shown at right (created by the region under the curve for $0\le x\le4$ ) about the $x$ -axis. Describe (and draw) the shape that is created and calculate its volume.

First quadrant with enclosed shaded polygon, starting at the origin, up 2, right 1, up 1, right 1, down 2, right 1, up 1, right 1, down 2, left 4, back to the origin to enclose the figure.

Hint:

In order to visualize the resultant solid (and compute its volume), first dissect the flag into familiar-shaped pieces.

Use the eTool below to visualize the flag.
Click the link at right for the full version of the eTool: Calc 2-128 HW eTool