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?

Result

x =  51974.7 l

Solution:

h=3 m r=2.4 m  a=1.7 m b=1.7 m c=0.8 m  V1=π r2 h=3.1416 2.42 354.2867 m3 V2=a b c=1.7 1.7 0.8=289125=2.312 m3  V3=V1V2=54.28672.31251.9747 m3  x=V3l=V3 1000 l=51.974721054 1000 l=51974.72105 l=51974.7 lh=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=\dfrac{ 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} \rightarrow l=V_{3} \cdot \ 1000 \ l=51.974721054 \cdot \ 1000 \ l=51974.72105 \ l=51974.7 \ \text{l}



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