Answer:
The volume of the sawdust pile is 16041.7 feet.
Step-by-step explanation:
The sawdust pile formed is in the form of a cone.
The volume of a cone is:
[tex]V=\frac{1}{3}\ \pi r^{2}\ h[/tex]
The information provided is:
r = radius of the base = diameter ÷ 2 = (35 ÷ 2) feet
h = height = 50 feet
Compute the volume of the sawdust pile as follows:
[tex]V=\frac{1}{3}\ \pi r^{2}\ h[/tex]
[tex]=\frac{1}{3}\times \frac{22}{7}\times (\frac{35}{2})^{2}\times 50\\\\=16041.6667\\\\\approx 16041.7\ \text{feet}[/tex]
Thus, the volume of the sawdust pile is 16041.7 feet.