The volume V generated by rotating the given region about the specified line R3 about AB is
Further explanation:
Given:
The coordinates of point A is
The coordinates of point B is
The coordinate of point C is
The value of y is
Explanation:
The equation of the curve is
Solve the above equation to obtain the value of x in terms of y.
The equation of the line is
After rotating the region is about the line AB.
From the graph the inner radius is and the outer radius is
The volume can be obtained as follows,
Further solve the above equation.
The volume V generated by rotating the given region about the specified line R3 about AB is
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Volume of the curves
Keywords: area, volume of the region, rotating, generated, specified line, R3, AB, rotating region.