Filtering water Suppose 5 in' of water is poured into a con- ical filter and subsequently drips into a cup, as shown in the figure. Let x denote the height of the water in the filter, and let y denote the height of the water in the cup. (a) Express the radius r shown in the figure as a function of x. (Hint: Use similar triangles.) (b) Express the height y of the water in the cup as a func- tion of x. (Hint: What is the sum of the two volumes shown in the figure?) Exercise 82 4"-

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