# 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 result:

S =  13.666 m2

#### Solution:

$D=3 \ \text{m} \ \\ h=70 \ cm \rightarrow m=70 / 100 \ m=0.7 \ m \ \\ \ \\ r=D/2=3/2=\dfrac{ 3 }{ 2 }=1.5 \ \text{m} \ \\ \ \\ S_{1}=\pi \cdot \ r^2=3.1416 \cdot \ 1.5^2 \doteq 7.0686 \ \text{m}^2 \ \\ S_{2}=\pi \cdot \ D \cdot \ h=3.1416 \cdot \ 3 \cdot \ 0.7 \doteq 6.5973 \ \text{m}^2 \ \\ \ \\ S=S_{1}+S_{2}=7.0686+6.5973=13.666 \ \text{m}^2$

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