Children's 8246

We prepare a pile of sand in the shape of a cone with a height of 1 m and a diameter of 1.6 m. We prepare it for the children's sandpit. What volume of sand does this pile occupy?

Correct answer:

V =  0.6702 m³

Step-by-step explanation:

$$\begin{gathered} h=1\text{m} \\ D=1.6\text{m} \\ r=D/2=1.6/2=\frac{4}{5}=0.8\text{m} \\ {S}_1=\pi \cdot r^2=3.1416\cdot 0.8^2\doteq 2.0106{\text{m}}^2 \\ V=\frac{1}{3}\cdot S_1\cdot h=\frac{1}{3}\cdot 2.0106\cdot 1=0.6702{\text{m}}^3 \end{gathered}$$

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