Cone-shaped 43291

Calculate the volume and weight of a pile of cone-shaped sand with a diameter of 8m and a height of v = 4.5m; the density of sand is 1500kg/M cubic.

Correct answer:

V =  75.3982 m³
m =  113097.3355 kg

Step-by-step explanation:

$$\begin{gathered} D=8\text{m} \\ v=4.5\text{m} \\ r=D/2=8/2=4\text{m} \\ V=\frac{1}{3}\cdot \pi \cdot r^2\cdot v=\frac{1}{3}\cdot 3.1416\cdot 4^2\cdot 4.5=75.3982{\text{m}}^3 \end{gathered}$$

$$\begin{gathered} \rho =1500{\text{kg/m}}^3 \\ m=\rho \cdot V=1500\cdot 75.3982=113097.3355\text{kg}\doteq 1.131\cdot 10^5\text{kg} \end{gathered}$$

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