Skip to main content
DigiCalcs

כיצד לחשב את Torus

learn.whatIsHeading

A torus is the 3D shape of a donut or ring. It is formed by rotating a circle of radius r around an axis at distance R from the circle's centre. The inner hole appears when R > r.

נוסחה

Volume = 2π² × R × r²
R
radius of the tube itself — radius of the tube itself

מדריך שלב אחר שלב

  1. 1R = distance from the centre of the tube to the centre of the torus
  2. 2r = radius of the tube itself
  3. 3Volume = 2π² × R × r²
  4. 4Surface area = 4π² × R × r

Worked Examples

קלט
R=5, r=2 (donut shape)
תוצאה
Volume = 394.8 units³ · SA = 394.8 units²
Coincidental equality for these values
קלט
R=10, r=3 (thin ring)
תוצאה
Volume = 1,776.5 units³
2π² × 10 × 9

Frequently Asked Questions

What is Torus Is The 3D Shape Of A Donut Or Ring?

A torus is the 3D shape of a donut or ring. It is formed by rotating a circle of radius r around an axis at distance R from the circle\

How accurate is the Torus Is The 3D Shape Of A Donut Or Ring calculator?

The calculator uses the standard published formula for torus is the 3d shape of a donut or ring. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.

What units does the Torus Is The 3D Shape Of A Donut Or Ring calculator use?

This calculator works with inches. You can enter values in the units shown — the calculator handles all conversions internally.

What formula does the Torus Is The 3D Shape Of A Donut Or Ring calculator use?

The core formula is: R = distance from the centre of the tube to the centre of the torus. Each step in the calculation is shown so you can verify the result manually.

מוכן לחשב? נסה את מחשבון Torus החינמי

נסה זאת בעצמך →

הגדרות