Question 322478
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10 of what sort of gallons?


A US liquid gallon is 231 cubic inches.


A US dry gallon is 268.8025 cubic inches.


Let *[tex \Large g] represent the number of cubic inches per gallon.


Since the volume of the cylinder is given by the area of the base times the height, the volume divided by the height must equal the area of the base:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \pi r^2\ =\ \frac{10g}{57}]


Solve for *[tex \Large r]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ r\ =\ \sqrt{\frac{10g}{57\pi}}]


And the diameter is then twice that:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ d\ =\ 2r\ =\ 2\sqrt{\frac{10g}{57\pi}}]


Once you figure out what number you want to use for *[tex \Large g], plug it in and do the arithmetic.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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