The solid S in Figure 25 is the intersection of two cylinders of radius r whose axes are

Chapter 6, Problem 21

(choose chapter or problem)

The solid S in Figure 25 is the intersection of two cylinders of radius r whose axes are perpendicular. (a) The horizontal cross section of each cylinder at distance y from the central axis is a rectangular strip. Find the strips width. (b) Find the area of the horizontal cross section of S at distance y. (c) Find the volume of S as a function of r.

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