Liters in cylinder

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

Correct answer:

x =  23.58 cm

Step-by-step explanation:

$$\begin{gathered} V=\pi r^{2}x \\ V=\pi (D\mathrm{/}2{)}^{2}x \\ x={\displaystyle \frac{V}{\pi (D\mathrm{/}2{)}^2}} \\ x={\displaystyle \frac{1000\cdot 24}{\pi \cdot (36\mathrm{/}2{)}^2}}=23.58\text{ cm} \end{gathered}$$

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