To find the longest straight line that can fit completely inside the juice can diagonally, we can use the Pythagorean theorem.
The diagonal of the juice can can be found by using the height and diameter as the two perpendicular sides of a right triangle. We can calculate the diagonal length (d) using the formula:
d = sqrt(h^2 + (d/2)^2)
where h = height of the cylinder and d = diameter of the cylinder.
Plugging in the values:
d = sqrt(122^2 + (52/2)^2)
d = sqrt(14884 + 676)
d = sqrt(15560)
d ≈ 124.7 mm
Therefore, the longest straight line that can fit completely inside the juice can diagonally is approximately 124.7 mm.