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/sci/ - Science & Math

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3998048 No.3998048 [Reply] [Original]

Can /v/ help me with this? I'm studying for a final and have no idea how to approach this question.

I have a wine cask with a diameter of 20cm and a depth of 50cm. The cask is not full, the meniscus of the wine remaining lies at a 40 degree angle when the cask is tipped on its side. I need to find the volume of the wine remaining.

Sorry for the poor image.

>> No.3998057

Sorry, I meant /sci/. I have no idea why I said /v/.

>> No.3998093
File: 16 KB, 500x500, wine.png [View same] [iqdb] [saucenao] [google]
3998093

OP here, this is as far as I got. I need to find the area of the green part, but I don't know how to go about it.

>> No.3998108
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3998108

>>3998093

>> No.3998109

That 80 degree section of the circle is 2/9ths of the circle's area. Find the area of the circle, and subtract 22.22...% of it. Add the area of the triangle, and then subtract the area of the circle. The absolute of that value is the area of the green part.

>> No.3998136

>>3998108

?

>>3998109

Area (circle) = 314.159cm²
Area (22% of circle) = 69.813cm²
Area (triangle) = 49.240cm²
Area (green) = 20.573cm²

So how do I get the volume of wine from this? I can't find the volume of the green area with a depth of 50cm because it's an irregular shape.

>> No.3998143
File: 10 KB, 240x180, 1307039507654.jpg [View same] [iqdb] [saucenao] [google]
3998143

>>3998136

One can't be serious.

>> No.3998179
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3998179

maybe they can.
>>>/v/

>> No.3998193

>>3998136
You could probably integrate it lol. Top bound being the arc, bottom the constant.

>> No.3998213

>>3998136

Find area of cylinder, subtract 22.22...% of it. Find area of triangular prism, add that to the cylinder less 22.22...%. You're finished.

>> No.3998222
File: 7 KB, 216x243, 1320256531624.jpg [View same] [iqdb] [saucenao] [google]
3998222

>>3998213

>area
>cylinder
>prism

>> No.3998223

>>3998222

Volume you dumb nigger.

>> No.3998234

>>3998048
shit like this i always figure out the total volume and deduct the empty space volume

you're welcome

>> No.3998237

>>3998048
oh, and a meniscus is not level, so you would need to account for that as well

and while you're figuring it out, you might drink a glass or two, and that would lower the volume too

again, you're totally welcome

>> No.3998238

>>3998213

Volume (cask) = 15714.286cm^3
Volume (22% of cask) = 3492.064cm^3
Volume (tri-prism) = 1230.962cm^3

So this would give me 13453.184cm^3 as the wine's volume.

God damn shit was tough. I can't imagine how I'd fare in an exam with this question without this thread.

>>3998234

Kind of hard when the only data you have is the radius, depth, and angle at which the meniscus touches the barrel.

>> No.3998267

>>3998237

A meniscus is only concernable with radii under 2cm. Otherwise it's negligible.