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#1 Re: Help Me ! » Need volume of hole removed from hollow cylinder with 5" thick wall » 2010-11-14 15:20:02
PS I had to use my Hp48GX to integrate because they were tough. I'll finish the writeup soon and post a link. I have a hand sketch to accompany.
Thatsva tough one for sure.
#2 Re: Help Me ! » Need volume of hole removed from hollow cylinder with 5" thick wall » 2010-11-14 01:18:41
Fruityloop got it! That's the answer. Now workmit if your hole (24") was tapered say 1" inward all around.
#3 Re: Help Me ! » Need volume of hole removed from hollow cylinder with 5" thick wall » 2010-09-14 13:47:41
Letbme get the triple integral worked outvso I can post an exact method.
#4 Re: Help Me ! » Need volume of hole removed from hollow cylinder with 5" thick wall » 2010-09-13 15:17:22
I will be posting the answer to this very soon. It's a heck of a mess. Get your hp48gx ready.
#5 Re: Help Me ! » Need volume of hole removed from hollow cylinder with 5" thick wall » 2010-09-12 06:27:53
Hi dude;
Yes, my 5 is incorrect. I also assumed the two curved areas were equal.
Okay, I have that too. I can compute the area's in your 2D drawing ( the curved parts ) drawing easy enough.
There are formulas to compute the volumes of those caps as they are called. Check this out:
http://mathworld.wolfram.com/SphericalSegment.html
I do not think you will require integration.
I call them domes but they are not. Notice I have a cylinder and those equations are fora sphere. No problem to calculate volume for domes cut from a sphere. Much different on a cylinder wall because the top view cross section is a bit misleading. Remember, I am cutting a circular hole through the cylinder wall.
#6 Re: Help Me ! » Need volume of hole removed from hollow cylinder with 5" thick wall » 2010-09-12 00:28:00
Hey BobbyM. Thanks for replying. That answer is incorrect. You used PI * r^2 * h => PI * 144 * 5 => 720 PI
That does not account for the curved surfaces which makes this problem a real pain in the butt.
I have tried breaking it down, via top view, into geometric shapes and no luck.
The problem is that although it looks like two domes are included in the attached photo, they are not domes.
#7 Help Me ! » Need volume of hole removed from hollow cylinder with 5" thick wall » 2010-09-11 10:58:57
- dude
- Replies: 12
I also want to know how to work this problem.
I have a vertical right cylinder that has an inner diameter of 48" and an out diameter of 58" inches. I am going to cut a hole, 24" in diameter through a place in the wall. I need to know how to solve for the removed volume exactly. I am sure after many hours of trying to break this down by geometric shape after shape that integrating may be my only hope. I am not very strong in that area since I am 13 years removed from Cal 1-3 and D.E.
Any help is greatly appreciated.
I have attached a photo to help illustrate my problem. This is just a photo I found while searching for a quest to answer my problem.
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