Half-filled 47753

The shaped container with a bottom diameter of 25 cm and a height of 30 cm is half-filled with oil. How many liters of oil are in the container? Please round the result to three decimal places.

Correct answer:

V =  7.363 l

Step-by-step explanation:

$$\begin{gathered} D=25\text{cm} \\ h=30\text{cm} \\ r=D/2=25/2=\frac{25}{2}=12.5\text{cm} \\ {h}_2=h/2=30/2=15\text{cm} \\ {V}_2=\pi \cdot r^2\cdot h_2=3.1416\cdot 12.5^2\cdot 15\doteq 7363.1078{\text{cm}}^3 \\ V=V_2\to \text{l}=V_2:1000\text{l}=7363.1078:1000\text{l}=7.363\text{l}=7.363\text{l} \end{gathered}$$

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