Calculate volume of a donut shape
The volume of a torus is:V = 2π²Rr²
Measure the distance from the center hole to the middle line of the tube.
Why: The major radius R determines how large the overall donut is. It's the key parameter for volume.
Measure the tube radius from the tube center to its outer edge.
Why: The minor radius r has a squared effect on volume. Even small changes dramatically affect how much space is inside.
Ensure R > r and both are positive values.
Why: Invalid ratios indicate impossible geometry. The tube must fit ring-shaped around the hole.
Apply V = 2π²Rr² where r² is squared.
Why: The r² term reflects that volume grows with tube cross-sectional area. The 2π² factor comes from toroidal integration.
Record both radii and the calculated volume for reference.
Why: Future modifications or verifications require knowing the original parameters. Documented data prevents measurement ambiguity.
Torus-Shaped Space Station Ring
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