Water

Into a full cylindrical tank high 3 with base radius 2.4 m we insert cuboid with dimensions 1.7 m, 1.7 m, 0.8 m. How many liters of water will come out?

Correct result:

x =  51974.7 l

Solution:

$$\begin{gathered} h=3\text{ m } \\ r=2.4\text{ m } \\ a=1.7\text{ m } \\ b=1.7\text{ m } \\ c=0.8\text{ m } \\ {V}_1=\pi \cdot r^2\cdot h=3.1416\cdot 2.4^2\cdot 3\doteq 54.2867{\text{m}}^3 \\ {V}_2=a\cdot b\cdot c=1.7\cdot 1.7\cdot 0.8={\displaystyle \frac{289}{125}}=2.312{\text{m}}^3 \\ {V}_3=V_1-V_2=54.2867-2.312\doteq 51.9747{\text{m}}^3 \\ x=V_3\to \text{ l}=V_3\cdot 1000\text{ l}=51.9747\cdot 1000\text{ l}=51974.7\text{ l} \end{gathered}$$

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