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# Calculate The Volume of A Torus

Last updated: Saturday, June 24, 2023

A torus is a three-dimensional geometric shape that resembles a doughnut or a ring-shaped object. It is formed by rotating a circle around an axis in space that is located outside the circle. A torus has a curved surface and a hole in the center.

Torus shapes can be found in various objects such as some types of donuts, bagels, and other baked goods. They are also used in architecture and engineering for the construction of some types of bridges and tunnels. The shape of a tire can also be approximated to that of a torus.

Easily calculate the volume of a torus with step-by-step guidance using our free calculator below.

The formula for determining the volume of a torus is defined as:
$$V$$ $$=$$ $$2$$ $$\cdot$$ $$\pi^2$$ $$\cdot$$ $$R$$ $$\cdot$$ $$r^2$$
$$V$$: the volume of the torus
$$r$$: the radius of the tube
$$R$$: the radius of the outer circle
$$\pi$$: A mathematical constant with an infinite decimal tail
The SI unit of volume is: $$cubic \text{ } meter\text{ }(m^3)$$

## Find $$V$$

Use this calculator to determine the volume of a torus when both of its radii are given.
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$$r$$
$$meter$$
the radius of the outer circle
$$R$$
$$meter$$
$$\pi$$ : A mathematical constant with an infinite decimal tail
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