See picture , please explain , show work ,thank you A 20 foot by 30 foot swimmin
ID: 2969399 • Letter: S
Question
See picture , please explain , show work ,thank you
A 20 foot by 30 foot swimming pool is filled with water. The depth is measured in 5 foot intervals, starting at one corner of the pool. The values are recorded in the table below. Estimate the volume of water in the pool. [Explain clearly what you are doing. There may be more than one correct way to approach this problem and more than one correct answer. I suggest that you draw a picture of the pool. The diagram below is not a picture of the pool. It is a table of values.]Explanation / Answer
With m = 2, we have ?x = 20/2 = 10
With n = 3, we have ?y = 30/3 = 10.
So, we concern ourselves with the grid
(0,20)...(10,20)....(20,20)...(30,20)
.....
(0,10)...(10,10)....(20,10)...(30,10)
.....
(0,0).....(10,0)......(20,0).....(30,0...
This gives us six 10x10 square grids, whose midpoints are (bottom row first)
(5, 5), (15, 5), (25, 5), (5, 15), (15, 15), and (25, 15).
Therefore, the midpoint rule yields an approximate volume
?x ?y * ? f(x*,y*), where (x*,y*) are the above 6 points.
= 10 * 10 [f(5, 5) + f(15, 5) + f(25, 5) + f(5, 15) + f(15, 15) + f(25, 15)]
= 100 [3 + 6 + 10 + 3 + 5 + 7]
= 3400 cubic feet.
I hope this helps!