Cylindrical 7891

Is it possible to pour water from a full cube-shaped container measuring 8 cm, 10 cm, and 12 cm into a cylindrical container with a bottom diameter of 12 cm and a height of 8 cm?

Correct answer:

x =  0

Step-by-step explanation:

$$\begin{gathered} a=8\text{cm} \\ b=10\text{cm} \\ c=12\text{cm} \\ D=12\text{cm} \\ h=8\text{cm} \\ r=D/2=12/2=6\text{cm} \\ {V}_1=a\cdot b\cdot c=8\cdot 10\cdot 12=960{\text{cm}}^3 \\ {V}_2=\pi \cdot r^2\cdot h=3.1416\cdot 6^2\cdot 8\doteq 904.7787{\text{cm}}^3 \\ {V}_1>V_2 \\ x=0 \end{gathered}$$

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