Hectoliters 39141

The children's pool has the shape of a cylinder with a bottom diameter of 6 m and a height of 60 cm. The water reaches one decimeter below the top of the pool. How many hectoliters of water is in the pool?

Correct answer:

x =  141.3717 hl

Step-by-step explanation:

$$\begin{gathered} d=6\text{m} \\ {h}_1=60\text{cm}\to \text{m}=60:100\text{m}=0.6\text{m} \\ {h}_2=1\text{dm}\to \text{m}=1:10\text{m}=0.1\text{m} \\ h=h_1-h_2=0.6-0.1=\frac{1}{2}=0.5\text{m} \\ r=d/2=6/2=3\text{m} \\ {V}_1=\pi \cdot r^2\cdot h=3.1416\cdot 3^2\cdot 0.5\doteq 14.1372{\text{m}}^3 \\ x=V_1\to \text{hl}=V_1\cdot 10\text{hl}=14.1372\cdot 10\text{hl}=141.372\text{hl}=141.3717\text{hl} \end{gathered}$$

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