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

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

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,

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