Learn How to Calculate Torus Volume, Surface Area Using Major and Minor Radius - Tutorial

How to Calculate Volume and Surface Area of Torus - Definition, Formula and Example

Definition

Torus is a ring-shaped surface of revolution created by rotating a circle in three-dimensional space about an axis coplanar with the circle that does not intersect the circle.

Formula

torus Surface Area = 4π2Rr Volume = 2π2Rr2
Where,
R = Major Radius r = Minor Radius
Example

In a ring-shaped object the major radius is 20 and minor radius is 10.Find the surface area and volume of torus for that object.

Given,

Major Radius = 20, Minor Radius = 10

To Find,
Surface area and Volume of Torus
Solution
Step 1

Let us first calculate the surface area for the object, Substitute the values in the below formula,

Surface Area = 4π2Rr = 4 x 3.14159262 x 20 x 10 = 7895.6832

Step 2

Now, let us calculate the volume of torus, Volume = 2π2Rr2 = 2 x 3.14159262 x 20 x 102 = 39478.4163

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