Cylindrical 20803

The cylindrical container has a height of v = 85 cm. The diameter of the container is 8 cm. How many liters of water will fit in this container when it is half full?

Correct answer:

V =  2.1363 l

Step-by-step explanation:

$$\begin{gathered} v=85\text{cm} \\ D=8\text{cm} \\ r=D/2=8/2=4\text{cm} \\ {V}_1=\pi \cdot r^2\cdot v=3.1416\cdot 4^2\cdot 85\doteq 4272.566{\text{cm}}^3 \\ {V}_2=V_1\to \text{l}=V_1:1000\text{l}=4272.566:1000\text{l}=4.27257\text{l} \\ V=\frac{1}{2}\cdot V_2=\frac{1}{2}\cdot 4.2726=2.1363\text{l} \end{gathered}$$

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