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. 
:
Choose a convenient height for the can, say 8", find the radius of this can.
{{{pi*r^2*8}}} = 231
divide both sides by 8
{{{pi*r^2}}} = 28.875
{{{r^2}}} = {{{28.875/pi}}}
r = {{{sqrt(9.19)}}}
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.