Torus Volume Calculator

Your details

Choose how you know your torus: by the two standard radii (R, r) or by the inner and outer radii (a, b) you can measure with calipers.
Distance from the center of the torus (the hole) to the center of the tube cross-section.
cm
Radius of the circular cross-section of the tube (half the tube thickness).
cm
VolumeRing torus
1,776.529

Interior volume of the torus (V = 2pi^2 * R * r^2)

Surface area1,184.353
Inner radius (a)7
Outer radius (b)13
Torus typeRing torus (R > r)
Volume1,776.529
Surface Area1,184.353

Torus volume: 1776.529 cm³

  • The volume is 1776.529 cm³ and the surface area is 1184.353 cm².
  • The volume-to-surface-area ratio is 1.500 cm, which reflects how compact the torus is.
  • This is a standard ring torus (like a doughnut or a tire): the tube does not touch the central axis.

Next stepTo find the volume of material in a hollow torus (e.g. a rubber ring with a thin wall), subtract the volume of the inner torus from the outer one.

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