SOLUTION: if a cylinder is 57 inches tall and holds 10 gallons how wide is it?

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Question 322478: if a cylinder is 57 inches tall and holds 10 gallons how wide is it?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


10 of what sort of gallons?

A US liquid gallon is 231 cubic inches.

A US dry gallon is 268.8025 cubic inches.

Let 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:



Solve for



And the diameter is then twice that:



Once you figure out what number you want to use for , plug it in and do the arithmetic.

John