Question

I would like to sell 3 gallon cans of peaches. what would the diameter of the base of the can need to be for it to be 6 inches tall and able to hold 3 gallon(s) of liquid? (note: 1 gallon = 231 cubic inches)

Answer 1

The volume of the cylinder is
.. V = π*(d/2)^2*h
.. 3*(231 in^3) = (π/4)*d^2*(6 in) . . . . fill in the give numbers
.. (3*231*4)/(6π) in^2 = d^2 . . . . . . . . divide by the coeffient of d^2
.. d = √147.06 in ≈ 12.13 in . . . . . . . . take the square root

The diameter of the base would need to be about 12.13 inches.