Volume of a torus given R = 10 and r = 5

Enter both values below

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A torus has a major radius (R) of 10

and minor radius (r) of 5

Calculate Volume and Surface Area

Torus Image

Torus Volume Formula

V = (πr²)(2πR)

Plug in r = 5, R = 10

V = (3.1415926535898)(5²)(2 * 3.1415926535898)10

V = (3.1415926535898)(25)(6.2831853071796)10

V = (78.539816339745)(62.831853071796)

V = 4934.8022005447

Torus Surface Area Formula

SA = 4 * π² * R * r

Plug in r = 5, R = 10

SA = 4 * 3.1415926535898² * 10 * 5

SA = 4 * 9.8696044010894 * 10 * 5

SA = 1973.9208802179

V = 4934.8022005447
SA = 1973.9208802179

You have 1 free calculations remaining

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What is the Answer?

V = 4934.8022005447
SA = 1973.9208802179

How does the Torus Calculator work?

Free Torus Calculator - 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?

r = inner radius
R = outer radius
SA = 4π²Rr
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

Torus Calculator Video

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