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

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The solid S in the figure is the intersection of two cylinders of radius r whose axes are perpendicular. S (a) The horizontal cross section of each cylinder at distance y from the central axis is a rectangular strip. Find the strip's width. (Express numbers in exact form. Use symbolic notation and fractions where needed.) strip's width: (b) Find the area of the horizontal cross section of S at distance y. (Express numbers in exact form. Use symbolic notation and fractions where needed.)

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