Torus Volume Calculator
Calculate the volume of a torus (doughnut shape) using its major and minor radii. Visualize the torus in 3D and easily copy the volume. Perfect for geometry calculations.
Torus Dimensions
Enter the major and minor radii to calculate the volume of the torus.
The distance from the center to the outer edge of the torus.
The radius of the circular cross-section of the torus.
Result
Volume (V):
The formula used for calculation is:
$$V = 2\pi^2 R r^2$$3D Torus Visualization
Understanding Torus Volume
A torus is a geometric shape resembling a doughnut or an inner tube. It is defined by two radii: the major radius (R), which is the distance from the center of the torus to the center of the tube, and the minor radius (r), which is the radius of the tube itself.
The volume of a torus is the amount of space it occupies in three dimensions. It's calculated using the formula: $$V = 2\pi^2 R r^2$$, where \( \\pi \) (pi) is approximately 3.14159.
This calculator simplifies the process of finding the volume of a torus, whether for mathematical studies, engineering applications, or simply out of curiosity. Just input the major and minor radii, and get the volume instantly along with a 3D visualization!
Learn more about torus geometry on resources like Wikipedia or math textbooks.