Question: You go to a Dumpy Donuts for a 24 oz. glass of iced tea. When you order it, the serverfills the cup with ice, and

You go to a Dumpy Donuts for a 24 oz. glass of iced tea. When you order it, the serverfills the cup with ice, and then pours the iced tea in. You are curious as to exactly how muchiced tea you are really paying for so you decide to perform your own investigation.As luck would have it, you happen to have a micrometer and a ruler on you at thatmoment. You determine that the ruler will satisfy the degree of accuracy that you requirefor this investigation.You measure the height of the liquid in the cup (with the ice cubes in it), and find it to be150 mm. You then mark the cup at this height with a Sharpie marker that you also happento have on you. You then extract the ice cubes from the cup, and count them, and you findthat there are 23 of them.You measure one of the cubes (assuming that the ice machine churns out nearlyequivalent dimensions for all cubes, and that the cube will not melt significantly during theperformance of the measurements). Despite the fact that you are getting strange looksfrom other patrons in the Dumpy Donuts, you proceed with the investigation. The ice cubesare found to be cylindrical (barrel-shaped), and have an outside diameter of 30 mm, aninside diameter of 15.0 mm, and a length of 30 mm.After you drink the iced tea, you measure the diameter where you previously markedthe cup (at the level of tea and ice). You find the diameter to be 90 mm. The base (bottom)of the cup is found to be 63 mm. You recall that the geometric shape of the cup is atruncated cone.i. What volume of iced tea was actually poured into the cup by the server?ii. If Dumpy Donuts charges $2.58 per 24 oz. cup, what is the cost per oz. of icedtea at Dumpy Donuts if no ice is placed into the cup?iii. What is the cost per oz. of iced tea if ice is placed into the cup?iv. If that particular Dumpy Donuts sells 450 cups of 24 oz. iced tea in a day, and allpatrons order cups without ice, how much less net revenue will the businesshave lost for that day? In other words, how much less will they make?

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