Question: The solid S in Figure 24 is the intersection of two cylinders of radius r whose axes are perpendicular. (a) The horizontal cross section of

The solid S in Figure 24 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 strip’s 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.

S 4

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