Transported 43451

A sandpit on a playground is shaped like a circle with a diameter of 3 meters and a depth of 25cm. How many cubic meters of sand are needed? Determine the weight of the transported sand if 1 m³ of sand weighs 800 kg.

Correct answer:

V =  1.7671 m³
m =  1413.7167 kg

Step-by-step explanation:

$$\begin{gathered} D=3\text{m} \\ h=25\text{cm}\to \text{m}=25:100\text{m}=0.25\text{m} \\ r=D/2=3/2=\frac{3}{2}=1.5\text{m} \\ V=\pi \cdot r^2\cdot h=3.1416\cdot 1.5^2\cdot 0.25=1.7671{\text{m}}^3 \end{gathered}$$

$$\begin{gathered} \rho =800{\text{kg/m}}^3 \\ m=\rho \cdot V=800\cdot 1.7671=1413.7167\text{kg} \end{gathered}$$

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