A juice can is in the shape of a cylinder. It has a height of $122 \mathrm{~mm}$ and a diameter of $52 \mathrm{~mm}$. What is the longest straw that can fit completely inside the juice can diagonally? Round the answer to the nearest tenth. (I point) $\mathrm{mm}$ CheckAnswer

Step 1 ：The height of the juice can is \(122 \mathrm{~mm}\)

Step 2 ：The diameter of the juice can is \(52 \mathrm{~mm}\)

Step 3 ：The radius of the juice can is half of the diameter, so the radius is \( \frac{52}{2} = 26.0 \mathrm{~mm}\)

Step 4 ：Using the Pythagorean theorem, the diagonal \(d\) of the cylinder can be found using the formula \(d = \sqrt{height^2 + radius^2}\)

Step 5 ：Substitute the given values into the formula to get \(d = \sqrt{122^2 + 26.0^2}\)

Step 6 ：Calculate the diagonal to get \(d = \sqrt{14884 + 676} = \sqrt{15560} = 124.73972903610141 \mathrm{~mm}\)

Step 7 ：Round the diagonal to the nearest tenth to get \(124.7 \mathrm{~mm}\)

Step 8 ：The longest straw that can fit completely inside the juice can diagonally is \(\boxed{124.7 \mathrm{~mm}}\)