Pass-through 5886

The round hole of the glass waste container has a diameter of 18 cm. Will a four-liter glass pass through this hole? If there are 4 liters of water in the glass, it reaches a height of 20 cm.

Result

Yes

No

S₁ =  254.469 cm²
S₂ =  200 cm²

Step-by-step explanation:

$$\begin{gathered} D=18\text{cm} \\ r=D/2=18/2=9\text{cm} \\ {S}_1=\pi \cdot r^2=3.1416\cdot 9^2=254.469{\text{cm}}^2 \end{gathered}$$

$$\begin{gathered} V=4\cdot 1000=4000{\text{cm}}^3 \\ h=20\text{cm} \\ {S}_2=V/h=4000/20=200=200{\text{cm}}^2 \\ {S}_1>S_2 \end{gathered}$$

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