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Using the shell method, the volume is
Each cylindrical shell has radius (the horizontal distance from the axis of revolution to the curve
); has height
(the vertical distance between a point on the
-axis in
and the curve
).
Compute the integral.
The length is 10.
Since the two points share the same y-coordinate, the segment rt is horizontal.
This means that the length of the side is simply the difference (in absolute value) between the x coordinates of the two points.
So, we have