Answer:
The height of the pile is increasing at the rate of 
Step-by-step explanation:
Given that :
Gravel is being dumped from a conveyor belt at a rate of 20 ft³ /min
i.e 
we know that radius r is always twice the diameter d
i.e d = 2r
Given that :
the shape of a cone whose base diameter and height are always equal.
then d = h = 2r
h = 2r
r = h/2
The volume of a cone can be given by the formula:




Taking the differentiation of volume V with respect to time t; we have:


we know that:

So;we have:



The height of the pile is increasing at the rate of 
We have the following table:
Round Number of Strokes Above or Below 72
1 -5
2 +6
3 -2
4 -4
5 +5
So, the expression that represents the total number of strokes is:
72 + (Number of strokes Above or below 72)
Therefore, for every round we get:
Round Number of Strokes Above or Below 72 Total number of strokes
1 -5 72 - 5 = 67
2 +6 72 + 6 = 78
3 -2 72 - 2 = 70
4 -4 72 - 4 = 68
5 +5 72 + 5 = 77
The total number of strokes is:
67 + 78 + 70 + 68 + 77 = 360
Additionally, the average is the total number of strokes divided by the number of rounds, so it is equal to:

Answer: Total: 360 Strokes
Average: 72 Strokes
The answer is <span>246.682848</span>