Steve's post of the year, smart folks please reply

[Pooh_Bear]

Re: Steve\'s post of the year, smart folks please reply

I think I made a mistake in my calculation.
The circle formula I used is a circle centered on the origin.
You either need to shift the circle off the origin (x^2-22.5)
or change the integration limits to -22.5 to +22.5

You can still use the original calculation but you would have to multiply results by 4 instead of by 2 since you would only be using 1/4 of the circle. And integration limits could only go up to 22.5 since anything past that is undefined.

Sorry for the errors.

I may be smarter than the average bear,
but I still got fluff for brains.

Pooh Bear

PS: Gizmo, what program did you use to do that with.

 

[gizmo]

Re: Steve\'s post of the year, smart folks please reply

Mathcad

 

[npaden]

Re: Steve\'s post of the year, smart folks please reply

You probably already have this sorted, but some of the answer's you got earlier weren't right.

I used gsganzer's attachment and ran it on a spreadsheet.

I did this because the list that Rdln provided wasn't correct. At 22.5 inches it should be 150 gallons. On his listing at 22 inches he had 167 gallons.

Here's my list: The inches are to the nearest 10th based on the spreadsheet gsganzer provided being every 2%.

Inches -- Gallons

0.9 1.4
1.8 4.0
2.7 7.3
3.6 11.2
4.5 15.6
5.4 20.4
6.3 25.5
7.2 31.0
8.1 36.7
9.0 42.7
9.9 48.9
10.8 55.4
11.7 62.0
12.6 68.8
13.5 75.7
14.4 82.8
15.3 89.9
16.2 97.2
17.1 104.6
18.0 112.1
18.9 127.1
20.7 134.7
21.6 142.4
22.5 150.0
23.4 157.6
24.3 165.3
25.2 172.9
26.1 180.4
27.0 187.9
27.9 195.4
28.8 202.8
29.7 210.1
30.6 217.2
31.5 224.3
32.4 231.2
33.3 238.0
34.2 244.6
35.1 251.1
36.0 257.3
36.9 263.3
37.8 269.0
38.7 274.5
39.6 279.6
40.5 284.4
41.4 288.8
42.3 292.7
43.2 296.0
44.1 298.6