Answer:
1675.52 cubic meters.
Step-by-step explanation:
First, we establish that the maximum amount of sand that can be stored in the structure is the volume of the conical structure.
[tex]\text{Volume of a Cone }= \frac{1}{3}\pi r^2 h$ where: \left\{\begin{array}{ll}$r=Base radius\\$h=height of the cone\\-----\\r=10m\\h=16m\end{array}\right[/tex]
Therefore:
[tex]\text{Volume of the structure}= \frac{1}{3}\pi \times 10^2 \times 16\\=\dfrac{1600\pi}{3} $ cubic meters\\\approx 1675.52$ m^3 $(correct to 2 d.p)[/tex]
The maximum amount of sand that can be stored in the structure is 1675.52 cubic meters.
