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

The longest straw that can fit completely inside the juice can diagonally is $124.7 mm$

Steps

Step 1 ：The height of the juice can is $122 mm$

Step 2 ：The diameter of the juice can is $52 mm$

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

Step 4 ：Using the Pythagorean theorem, the diagonal $d$ of the cylinder can be found using the formula $d = \sqrt{h e i g h t^{2} + r a d i u s^{2}}$

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 $d = \sqrt{14884 + 676} = \sqrt{15560} = 124.73972903610141 mm$

Step 7 ：Round the diagonal to the nearest tenth to get $124.7 mm$

Step 8 ：The longest straw that can fit completely inside the juice can diagonally is $124.7 mm$