FOOD & COOKING CALCULATOR Donut A precise tool.
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What is the Donut & How does it work?

A classic fried donut is best described as a torus – a doughnut‑shaped solid formed by rotating a circular tube around an axis. The large radius (often called the major radius) (R) measures the distance from the centre of the tube to the centre of the torus, while the small radius (the minor radius) (r) describes the thickness of the tube itself.

The volume of a torus can be derived from calculus and is given by the compact formula below. Knowing the volume of a single donut allows bakers and nutritionists to estimate ingredient usage and caloric content.

V = 2 pi^2 R r^2
V = volume of one donut (cmΒ³)

Once the volume is known, the total caloric value is simply the product of the volume, the number of donuts, and the energy density of the batter (kcal per cubic centimetre). This approach provides a quick, geometry‑based estimate that can be refined with actual recipe data.

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Parameters
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Frequently Asked Questions
How do I calculate the volume of a donut?
To calculate the volume, multiply Ο€ by the square of the major radius (R) and then by 2 times Ο€ multiplied by the minor radius (r).
What is the formula for the volume of a torus?
The volume of a torus is given by V = 2π²Rr, where R is the major radius and r is the minor radius.
Can I use this calculator for any type of donut?
Yes, this calculator can be used for any classic fried donut shape that forms a torus.
What do the major and minor radii represent in a donut?
The major radius (R) is the distance from the center of the tube to the center of the torus, while the minor radius (r) is the thickness of the tube.
How accurate is this calculator for real-world applications?
This calculator provides a good approximation for the volume of a donut based on its geometric shape.
Can I use this formula for other torus-shaped objects?
Yes, the same formula can be used for any object that has a torus shape.
What units should I use when entering the radii?
You should use consistent units (e.g., all in centimeters or inches) for both the major and minor radii.

Results are for informational purposes only and do not constitute professional advice.