Trying to figure out how to get the volume area of a glass that has a base that has a diameter of 6", is 12" tall, and has a top diameter of 8".
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Umm, you could try solving it as if you had two circles (top and bottom areas) and a cylinder (everything else).
Not too sure if I'm on the right track though.
____________ If you supposedly care about someone, then don't push them out of your life. Acting like you're not doing it doesn't exempt you from what I just said. - Winterfate
As a coincidence, somebody today mass-emailed the following video in the department
which ends with the phrase "we need more patient problem solvers"; but I think his phrasing needs re-structuring. What really needs to be done is to create more patient problem solvers as years go by and problem-solvers become more "mature"; I have already referred to this problem. By the way, here is the guy's blog (the guy that appears in the video); I just know the link; I haven't read a bit of his blog (yet).
And to make all these things more specific, if you (not necessarily you; anyone) need some help, try to at least show some work and pinpoint where you get stuck. There are no free lunches; or are you satisfied if somebody says that the answer to the problem that you posed is about 12345 cubic inches ? I hope not. The end answer is not the real issue; it is the process that leads you there. So, what have you tried ? Where did you get stuck ? Or is it the case that you just look at the problem, and the problem is kind enough to look back at you but nothing else happens ?
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The empty set
Myt, do you know how to find the volume of a cylinder? What's the difference between your problem and finding the volume of a cylinder? Have you tried drawing the problem out on paper?
I just told you where to start. You start by answering my questions.....answer to yourself as a place to start thinking. You can answer them here also if you want. Don't think "math" so much as think shapes.
Well the main difference is the fact that it is an odd shaped Cylinder. When we think Cylinder we usually think same size top and bottom. Since the size of the sides would gradually increase to larger, it would be a bit different formula then one that was same size top and bottom.
I believe the formula for finding volume of a cylinder is..
V= r2 x pi x hight? or is it V = R x pi x height?
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I don't know, don't have a clue. Been trying to figure that part out. If I knew the formula, I would have my answer by now
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Um, it's not what I thought. Looks like I got myself in trouble again. So much for my line of reasoning, never mind
I used to be real good at this stuff, honest. A long time ago I had a chance to go to MIT as a math major and now I can't even freakin do simple stuff any more. Oh well.
The shape of glass - is truncated cone.
If you don't know the formula of volume of truncated cone, you could get it as a difference of volumes of 2 cones.
That was I meant in earlier post.
*sighs* never mind. Since this is just my curiosity, I will see if somebody will actually sit down and show me a formula, and explain why that formula. Thanks for trying at least. I learn differntly then some.
For those curious the formula for a truncated cone is 1/3 * pi * (radius (1) squared + Radius (1) * Radius (2) + Radius (2) squared)* height.
Edit : Which helps me not at all, because though I can now find the volume..I don't know WHY this formula.
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