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PROBLEM 6: Your aunt fills a large cylindrical cooler with raspberry lemonade and ice, up to a height H, and places the cooler on the edge of a table in

preparation for a (pre-COVID) family party. The cooler has a tap (spout) on the side, located a distance h above the bottom of the cooler, that can be used to fill drinks. After your young cousin uses it, he leaves the tap open and you see the lemonade shoot out and land on the ground under the table a horizontal distance of x from the spout. Assume the table has a standard height of 75 cm. (a) Find the distance x in terms of the given variables and values. (b) Imagine you wanted to add a new tap such that the lemonade could reach the maximum horizontal distance from this new spout. At what depth should you place the spout? You can assume that the original spout is closed and that the total liquid level has not dropped appreciably int the cooler.

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