Water

Into a full cylindrical tank high 3 m with a base radius of 2.5 m, we insert cuboid with dimensions 1.7 m, 1.3 m, 1.9 m. How many liters of water will overflow out?

Correct answer:

x =  54705.9 l

Step-by-step explanation:

$$\begin{gathered} h=3\text{ m } \\ r=2.5\text{ m } \\ a=1.7\text{ m } \\ b=1.3\text{ m } \\ c=1.9\text{ m } \\ {V}_1=\pi \cdot r^2\cdot h=3.1416\cdot 2.5^2\cdot 3\doteq 58.9049{\text{m}}^3 \\ {V}_2=a\cdot b\cdot c=1.7\cdot 1.3\cdot 1.9=4.199{\text{m}}^3 \\ {V}_3=V_1-V_2=58.9049-4.199\doteq 54.7059{\text{m}}^3 \\ x=V_3\to \text{ l}=V_3\cdot 1000\text{ l}=54.7059\cdot 1000\text{ l}=54705.9\text{ l} \end{gathered}$$

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