SOLUTION: Joshua's family is starting a business selling maple syrup. They plan to sell the syrup to restaurants in one-gallon cans (1 gallon = 231 in^3). Describe the dimensions of a cylind

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Question 877239: Joshua's family is starting a business selling maple syrup. They plan to sell the syrup to restaurants in one-gallon cans (1 gallon = 231 in^3). Describe the dimensions of a cylindrical can that will hold one gallon of syrup when full. Justly or explain your answer.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Joshua's family is starting a business selling maple syrup.\
They plan to sell the syrup to restaurants in one-gallon cans (1 gallon = 231 in^3).
Describe the dimensions of a cylindrical can that will hold one gallon of syrup when full.
:
Choose a convenient height for the can, say 8", find the radius of this can.
pi%2Ar%5E2%2A8 = 231
divide both sides by 8
pi%2Ar%5E2 = 28.875
r%5E2 = 28.875%2Fpi
r = sqrt%289.19%29
r = 3.03 inches is the radius of the can
:
Practically though, I would make the height 9" to have a little room when one gallon is added. Prevent overflow because expansion etc.