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Volume of a torus given R = 20 and r = 10

Enter both values below

<-- Major Radius (R)
<-- Minor Radius (r)
  
A torus has a major radius (R) of 20
and minor radius (r) of 10.
Calculate Volume and Surface Area

Torus

Torus Volume Formula

V = (πr2)(2πR)

Plug in r = 10, R = 20

V = (3.1415926535898)(102)(2 * 3.1415926535898)20
V = (3.1415926535898)(100)(6.2831853071796)20
V = (314.15926535898)(125.66370614359)
V = 39478.417604357

Torus Surface Area Formula

SA = 4 * π2 * R * r

Plug in r = 10, R = 20

SA = 4 * 3.14159265358982 * 20 * 10
SA = 4 * 9.8696044010894 * 20 * 10
SA = 7895.6835208715

V = 39478.417604357
SA = 7895.6835208715




What is the Answer?

V = 39478.417604357
SA = 7895.6835208715

How does the Torus Calculator work?

Calculates the volume of a torus and surface area of a torus given major radius and minor radius.
This calculator has 2 inputs.

What 4 formulas are used for the Torus Calculator?

  1. r = inner radius
  2. R = outer radius
  3. SA = 4π2Rr
  4. V = 2π2Rr2

For more math formulas, check out our Formula Dossier

What 4 concepts are covered in the Torus Calculator?

radius
Distance from the center of a circle to the edge
C/2π
surface area
the amount of space covering the outside of a three-dimensional shape.
torus
A donut shape
SA = 4π2Rr
V = 2π2Rr2
volume
quantity of 3-dimensional space

Example calculations for the Torus Calculator

  1. Torus large radius is 10 and small radius is 5
  2. Torus R = 20 and r = 10

Torus Calculator Video


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