The glass

The glass has the shape of a cylinder with an inner diameter of 12 cm, and the height from the bottom is 16 cm. The cut skewer can be inserted diagonally into the glass so it does not protrude beyond the edge. What is the largest possible length of the cut skewer?

(The thickness of the skewer is neglected in the calculation.)

Final Answer:

x =  20 cm

Step-by-step explanation:

$$\begin{gathered} D=12\text{cm} \\ h=16\text{cm} \\ {x}^2=D^2+h^2 \\ x=\sqrt{D^2+h^2}=\sqrt{12^2+16^2}=20\text{cm} \end{gathered}$$

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