Fountain

The stone fountain, which has the shape of a cylinder with a diameter of 3 m, is 70 cm deep. How many m² of stone is wetted with water?

Correct answer:

S =  13.6659 m²

Step-by-step explanation:

$$\begin{gathered} D=3\text{ m } \\ h=70\text{ cm}\to \text{ m}=70\mathrm{/}100\text{ m}=0.7\text{ m } \\ r=D\mathrm{/}2=3\mathrm{/}2={\displaystyle \frac{3}{2}}=1.5\text{ m } \\ {S}_1=\pi \cdot r^2=3.1416\cdot 1.5^2\doteq 7.0686{\text{m}}^2 \\ {S}_2=\pi \cdot D\cdot h=3.1416\cdot 3\cdot 0.7\doteq 6.5973{\text{m}}^2 \\ S=S_1+S_2=7.0686+6.5973=13.6659{\text{m}}^2 \end{gathered}$$

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