Example 2: Determine the volume created by rotating the shaded area about the y axis.
Solution: As a result of rotating the
shaded area around the y axis, a solid shape will be created. Since
the revolution is about the y axis, we only need to find the 
coordinate of the shaded area. We proceed by
identifying the differential area as
The centroid of the differential area is located at x/2. With
that, we calculate the as
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The area of the revolving section is given by the denominator and is equal to 13.33 in2. Now the enclosed volume is found as
