Gravel is being dumped from a conveyor belt at a rate of 10 ft3/min. Since we are told that the shape formed is a cone, the rate of change of the volume of the cone.
If the Base Diameter = Height of the Cone
The radius of the Cone = h/2
Therefore,
Therefore:
We want to determine how fast is the height of the pile is increasing when the pile is 6 feet high.
When the pile is 6 feet high, the height of the pile is increasing at a rate of 0.3537 feet per minute.