Granite column

A cylindrical granite column in a square is 8 meters high and has a diameter of 70 cm. I need to find out how much it weighs. Will this column support a truck with a load capacity of 8 tons?

Final Answer:

m =  8.6205 t
x =  0

Step-by-step explanation:

$$\begin{gathered} h=8\text{m} \\ D=70\text{cm}\to \text{m}=70:100\text{m}=0.7\text{m} \\ \rho =2800{\text{kg/m}}^3 \\ r=D/2=0.7/2=\frac{7}{20}=0.35\text{m} \\ V=\pi \cdot r^2\cdot h=3.1416\cdot 0.35^2\cdot 8\doteq 3.0788{\text{m}}^3 \\ {m}_1=\rho \cdot V=2800\cdot 3.0788\doteq 8620.5302\text{kg} \\ m=m_1\to \text{t}=m_1:1000\text{t}=8620.5302:1000\text{t}=8.621\text{t}=8.6205\text{t} \end{gathered}$$

$$\begin{gathered} m>8t \\ x=0 \end{gathered}$$

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