The cylindrical container

The container has a cylindrical shape the base diameter 0.8 meters has a content area of the base is equal to the content area of the shell. How many full liters of water can be poured maximally into the container?

Correct result:

x =  100 l

Solution:

D=0.8 m r=D/2=0.4 m=4 dm S1=S2 πr2=2πrh r=2h h=r/2=2 dm V=πr2h=π42⋅2=100 lD = 0.8 \ m \ \\ r = D/2 = 0.4 \ m = 4 \ dm \ \\ S_1 = S_2 \ \\ \pi r^2 = 2 \pi r h \ \\ r = 2 h \ \\ h = r/2 = 2 \ dm \ \\ V = \pi r^2 h = \pi 4^2 \cdot 2 = 100 \ \text{l}

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