Filtering water Suppose 5 of water is poured into a conical filter and subsequently
Chapter 2, Problem 2.8.82(choose chapter or problem)
Filtering water Suppose 5 of water is poured into a conical 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 function of x. (Hint: What is the sum of the two volumes shown in the figure?)
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