Sand pours from a chute and forms a conical pile whose height is always equal to its base diameter. The height of the pile increases at a rate of 5 feet/hour. Find the rate of change of the volume of the sand..?
in the conical pile, when the height of the pile is 4 feet.
in the conical pile, when the height of the pile is 4 feet.
1 Answer
Dec 6, 2017
Explanation:
Volume of a cone is:
height of pile increases at a rate of 5 feet per hr.
Let
If height is always equal to diameter then diameter is increasing by 5 units per hr, which means radius in increasing by 2.5 units per hr.
Let
Then we have:
When pile is 4 feet high. Using