Quadrilateral 14211

We poured water up to a height of 34 cm into a container of a regular quadrilateral prism with a base edge a = 10.6 cm and a wall diagonal of 3.9 dm. We then inserted a 6 cm long cylinder with a diameter of 10 cm. How many liters of water overflowed?

Correct answer:

x =  0.0744 l

Step-by-step explanation:

a=10.6 cm s=3.9 dm cm=3.9 10  cm=39 cm h=34 cm  S1=a2=10.62=252809=112.36 cm2 h2=s2a2=39210.6237.5319 cm  l=6 cm D=10 cm r=D/2=10/2=5 cm V2=π r2 l=3.1416 52 6471.2389 cm3  V1=S1 h=112.36 34=2595506=3820.24 cm3 V3=S1 h2=112.36 37.53194217.079 cm3 V4=V1+V2=3820.24+471.23894291.4789 cm3  p=V4V3=4291.47894217.07974.3999 cm3  x=p l=p:1000  l=74.3999:1000  l=0.074 l=0.0744 l

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