Determine 67764

The barrel filled with asphalt has a diameter of 60 cm and a height of 100 cm. The weight of the asphalt in it is 390 kg. Determine the density of the asphalt.

Correct answer:

ρ =  1379.3428 kg/m³

Step-by-step explanation:

$$\begin{gathered} D=60\text{cm}\to \text{m}=60:100\text{m}=0.6\text{m} \\ h=100\text{cm}\to \text{m}=100:100\text{m}=1\text{m} \\ m=390\text{kg} \\ r=D/2=0.6/2=\frac{3}{10}=0.3\text{m} \\ V=\pi \cdot r^2\cdot h=3.1416\cdot 0.3^2\cdot 1\doteq 0.2827{\text{m}}^3 \\ m=\rho V \\ \rho =m/V=390/0.2827=1379.3428{\text{kg/m}}^3 \end{gathered}$$

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