Question

The sand used for sanding icy roads in the winter is stored in a conical-shaped structure with a radius of 10 m and a height of 16 m. Calculate the maximum amount of sand which can be stored in this structure.

Answer 1

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.

$\text{Volume of a Cone }= \frac{1}{3}\pi r^2 h where: \left\{\begin{array}{ll} r=Base radius\\ h=height of the cone\\-----\\r=10m\\h=16m\end{array}\right$

Therefore:

$\text{Volume of the structure}= \frac{1}{3}\pi \times 10^2 \times 16\\=\dfrac{1600\pi}{3} cubic meters\\\approx 1675.52 m^3 (correct to 2 d.p)$

The maximum amount of sand that can be stored in the structure is 1675.52 cubic meters.