Cylinder-shaped 71384

My father installed a cylinder-shaped pool in the garden with a bottom diameter of 6 m and a height of 1.5 m. how many hectoliters of water can fit in the pool? How many m² of space must be cleaned after draining the pool?

Correct answer:

V =  424.115 hl
S =  56.5487 m²

Step-by-step explanation:

$$\begin{gathered} D=6\text{m} \\ h=1.5\text{m} \\ r=D/2=6/2=3\text{m} \\ {S}_1=\pi \cdot r^2=3.1416\cdot 3^2\doteq 28.2743{\text{m}}^2 \\ {V}_1=S_1\cdot h=28.2743\cdot 1.5\doteq 42.4115{\text{m}}^3 \\ V=V_1\to \text{hl}=V_1\cdot 10\text{hl}=42.4115\cdot 10\text{hl}=424.115\text{hl}=424.115\text{hl} \end{gathered}$$

$S=S_1+\pi \cdot D\cdot h=28.2743+3.1416\cdot 6\cdot 1.5=56.5487{\text{m}}^2$

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