Cylinder-shaped 81766

The Novákov family bought a cylinder-shaped pool with a base radius of 200 cm and a volume of 31.4 hl. Could the grandson safely jump if he is 120 cm tall?

Result

x=

Yes

No

Step-by-step explanation:

$$\begin{gathered} r=200\text{cm}\to \text{m}=200:100\text{m}=2\text{m} \\ V=31.4\text{hl}\to {\text{m}}^3=31.4:10{\text{m}}^3=3.14{\text{m}}^3 \\ V=\pi r^{2}h \\ h=\frac{V}{\pi \cdot r^2}=\frac{3.14}{3.1416\cdot 2^2}\doteq 0.2499\text{m} \\ h<120\text{cm} \\ x=0 \end{gathered}$$

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