Theory and ExamplesIf lines are drawn parallel to the
Chapter 11, Problem 69E(choose chapter or problem)
Problem 69E
Theory and Examples
If lines are drawn parallel to the coordinate axes through a point P on the parabola y2 = kx, k > 0, the parabola partitions the rectangular region bounded by these lines and the coordinate axes into two smaller regions, A and B.
a. If the two smaller regions are revolved about the y-axis, show that they generate solids whose volumes have the ratio 4:1.
b. What is the ratio of the volumes generated by revolving the regions about the x-axis?
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