Solving a Hard Math Question: Volume of Concentrated Orange Juice

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The discussion centers on a challenging math problem involving the volume of concentrated orange juice and its dilution with water. The volume of the concentrate is given by the expression (8x^3-54x+54) picm^3, and after adding three cans of water, the total volume needs to be calculated. Participants clarify that the volume of the large container is four times that of the concentrate and emphasize the importance of correctly interpreting the problem's wording. The solution involves deriving a function of x to determine how many glasses can be filled to 1 cm from the rim, rather than arriving at a constant number. Overall, the conversation highlights the complexities of the problem and the need for careful analysis of the given expressions.
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in my opinion, i find this question really hard.

-the volume of a can of concentrated orange juice is represented by the following expression:
(8x^3-54x+54)\picm^3
the juice is prepared by emptying the concentrate into a large container and by adding 3 cans of the same volume of water. after a good stir, the juice is poured into glasses measuring 9 cm in height and whose radius is (2x-3) cm. Use a simplified algebraic expression to represent the number of glasses that can be filled up to 1 cm from the rim.

i've drawn my diagrams i just don't know where to start. any help would be apreciated...
thanks in advance
 
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The volume of the large container is 4*volume of oj concentrate

you would then divide that by the volume of the glass (-1 cm of height)
 
o i see wat the question ment when it said "3 cans of water of the same volume" AS THE CONCENTRATE, its really badly written... thanks tho
 
btw, you won't find a constant number, you will find a function of x
 
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