Container 18293

I poured ten full cups with a radius of 5 cm and a height of 10 cm into a container with a volume of 8 liters. How many liters are in the container?

Correct answer:

V =  7.854 l

Step-by-step explanation:

$$\begin{gathered} V_1=8\text{l} \\ n=10 \\ r=5\text{cm}\to \text{dm}=5:10\text{dm}=0.5\text{dm} \\ h=10\text{cm}\to \text{dm}=10:10\text{dm}=1\text{dm} \\ {V}_2=\pi \cdot r^2\cdot h=3.1416\cdot 0.5^2\cdot 1\doteq 0.7854{\text{dm}}^3 \\ {V}_3=V_2\cdot n=0.7854\cdot 10\doteq 7.854\text{l} \\ {V}_3<V_1 \\ V=V_3=7.854=7.854\text{l} \end{gathered}$$

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