Cylinder 5123

The well has the shape of a cylinder with a base diameter of 1.2 m. From the surface to the surface, it is 4 m, and the water depth is 3.5 m. How many m³ of soil had to be dug when digging the well? How much is water (in m³) in the well?

Correct answer:

V₁ =  8.4823 m³
V₂ =  3.9584 m³

Step-by-step explanation:

$$\begin{gathered} D=1.2\text{m} \\ r=D/2=1.2/2=\frac{3}{5}=0.6\text{m} \\ a=4\text{m} \\ b=3.5\text{m} \\ S=\pi \cdot r^2=3.1416\cdot 0.6^2\doteq 1.131{\text{m}}^2 \\ h=a+b=4+3.5=\frac{15}{2}=7.5\text{m} \\ {V}_1=S\cdot h=1.131\cdot 7.5=8.4823{\text{m}}^3 \end{gathered}$$

$V_2=S\cdot b=1.131\cdot 3.5=3.9584{\text{m}}^3$

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