Liters in cylinder

Determine the height at which level 24 liters of water in a cylindrical container having a bottom diameter 36 cm.

Result

x =  23.58 cm

Solution:

V=πr2x V=π(D/2)2x x=Vπ(D/2)2 x=100024π(36/2)2=23.58  cm V = \pi r^2 x \ \\ V = \pi (D/2)^2 x \ \\ x = \dfrac{ V }{ \pi (D/2)^2 } \ \\ x = \dfrac{ 1000 \cdot 24 }{ \pi \cdot ( 36/2)^2 } = 23.58 \ \text{ cm }



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