Tank Shape: Ellipsoid or Something Else?

  • Thread starter Thread starter Wensleydale
  • Start date Start date
  • Tags Tags
    Ellipsoid
AI Thread Summary
The tank in question is identified as a cylinder with semispherical ends, rather than an ellipsoid. To calculate the volume of the remaining fuel, one must consider the volume of a semi-filled cylinder and a semi-filled sphere. A specific online calculator is recommended for accurate volume calculations based on the tank's dimensions. Users are advised to ensure they provide the correct radius, which is half the diameter, and only the length of the straight section of the tank. Understanding the tank's shape is crucial for determining the fuel volume accurately.
Wensleydale
Messages
4
Reaction score
0
Hi, everybody.

Is this tank an ellipsoid?
fueltank.jpg
If not, what shape is it?
 
Mathematics news on Phys.org
The question is kinda of important and isn't a homework thing. I'm trying to determine the volume of the remaining fuel in a tank like this by the height of the fuel remaining. I need to find out for work.
 
The image hasn't been approved yet. You can see it but no one else can.
 
Silly me
 
That is not an ellipsoid, that is a cylinder with semispherical ends.

It breaks down to the volume of a semi-filled cylinder of length L and radius R plus the volume of a semi-filled sphere of radius R.

Uh ... I went looking for the relevant formulae but ended up finding a calculator that does precisely what you want:

http://www.onlineconversion.com/object_volume_partial_out_cylinder.htm

Be careful with your numbers:
- you're asked for the radius which is only half the diameter of the tank
- you're asked for the length of only the straight part
 
Last edited:
thanks...
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...

Similar threads

Replies
30
Views
1K
Replies
10
Views
1K
Replies
7
Views
2K
Replies
2
Views
6K
Replies
1
Views
1K
Replies
6
Views
3K
Replies
8
Views
2K
Replies
5
Views
2K
Back
Top