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Answer :
The first we have to know is the formula for the volume of a cylinder:
[tex]V=\pi\cdot r^2\cdot h[/tex]From the question, we have that
D = 3 inches --> r = 3/2 --> r = 1.5 inches
h = 7 inches
Then, we have that the volume is:
[tex]V=\pi\cdot(1.5)^2\cdot7\Rightarrow V=49.48008\approx49.48[/tex]Then, the cylinder (glass) has a volume of 49.48 cubic inches.
If we know that there are 231 cubic inches in a gallon, we have that:
[tex]N=\frac{231}{49.48}\Rightarrow N=4.6685\approx4.67[/tex]Then, from the result, we can say that the largest number of full milk glasses that he can pour from one gallon of milk is 4 glasses.
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