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Question

Jim has identical drinking glasses each in the shape of a right circular cylinder with internal diameter of 3inches. He pours milk from a gallon jug into each glass until it is full. If the height of milk in each glass is about 6inches, what is the largest number of full milk glasses that he can pour from one gallon of milk? (Note: There are 231 cubic inches in 1 gallon.)

A
2
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B
4
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C
5
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D
6
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Solution

The correct option is D 5
The volume of the right circular cylinder is V=πr2h.
Since the radius of the right circular cylinder is half of its diameter, therefore if the diameter is 3 inches then the radius will be 32 inches.
Also it is given that the height of milk in each glass is 6 inches. Hence, the total volume of milk in each glass is as follows:
π×(32inches)2×(6inches)=42.39in3
Number of possible glasses that could be poured from one gallon of milk is:
(231in3)(42.39in3)=5.45 glasses approximately.

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