Enter the major radius and minor radius into the calculator to determine the volume of the torus; this calculator can also evaluate any of the variables given the others are known.
Volume Of Torus Formula
The following formula is used to calculate the volume of a torus:
V = π^2 * R * r^2
Variables:
- V is the volume of the torus
- R is the major radius of the torus
- r is the minor radius of the torus
To calculate the volume of a torus, square the minor radius, multiply it by the major radius, and then multiply the result by π squared.
What is a Volume Of Torus?
A volume of a torus refers to the amount of three-dimensional space that a torus, or a shape similar to a doughnut, occupies. The torus is a surface of revolution generated by revolving a circle in three-dimensional space about an axis coplanar with the circle. If the radius of the circle that is being revolved is r, and the distance from the center of this circle to the axis of revolution is R, then the volume V of the torus is given by the formula V = 2π²Rr². This formula is derived by integrating the volume of infinitesimally thin cylindrical shells that make up the torus. The volume of a torus is always measured in cubic units.
How to Calculate Volume Of Torus?
The following steps outline how to calculate the Volume of a Torus.
- First, determine the major radius (R) of the torus.
- Next, determine the minor radius (r) of the torus.
- Next, use the formula V = π^2 * R * r^2 to calculate the volume of the torus.
- Finally, calculate the Volume of the Torus.
- After inserting the values of R and r into the formula and calculating the result, check your answer with a calculator.
Example Problem:
Use the following variables as an example problem to test your knowledge.
Major radius (R) = 5
Minor radius (r) = 2
