Question

A sawdust pile has a base diameter of 35 feet when it’s height is 30 feet, find the volume of the pile when it is at 50 feet tall

Answer 1

The volume of the sawdust pile is 16041.7 feet.

Explanation:

The sawdust pile formed is in the form of a cone.

The volume of a cone is:

`V=(1)/(3)\ \pi r^(2)\ h`

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:

`V=(1)/(3)\ \pi r^(2)\ h`

`=(1)/(3)* (22)/(7)* ((35)/(2))^(2)* 50\\\\=16041.6667\\\\\approx 16041.7\ \text{feet}`

Thus, the volume of the sawdust pile is 16041.7 feet.