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Mathematical Pythagorean Theorem Design
Put a wooden stick with a length of 24cm into a cylindrical water cup with a bottom diameter of 5cm and a height of 12cm. Let the length of the stick exposed outside the quilt be Xcm, then the value range of x is11cm < x <12cm.

Analysis: The length of the wooden stick in the cup is √(5? + 12? )= 13cm,

The shortest exposure length is 24-13 =11cm;

When the stick is placed vertically, the length in the cup is 12cm, and the longest exposed length is 24- 13 = 12 cm.