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Last updated on September 11, 2025
Calculators are reliable tools for solving simple mathematical problems and advanced calculations like trigonometry. Whether you’re cooking, tracking BMI, or planning a construction project, calculators will make your life easy. In this topic, we are going to talk about torus volume calculators.
A torus volume calculator is a tool to figure out the volume of a torus shape given its dimensions. A torus is a doughnut-shaped surface generated by revolving a circle in three-dimensional space about an axis coplanar with the circle.
This calculator makes calculating the volume much easier and faster, saving time and effort.
Given below is a step-by-step process on how to use the calculator:
Step 1: Enter the major radius (R): Input the distance from the center of the tube to the center of the torus into the given field.
Step 2: Enter the minor radius (r): Input the radius of the tube itself.
Step 3: Click on calculate: Click on the calculate button to get the volume of the torus.
Step 4: View the result: The calculator will display the result instantly.
To calculate the volume of a torus, there is a simple formula that the calculator uses. The formula involves the major radius (R) and the minor radius (r) of the torus.
Volume = (πr^2)(2πR) Therefore, the formula is: Volume = 2π^2Rr^2 The volume is derived from the area of the circle (πr^2) revolved around the circle's axis (2πR).
When we use a torus volume calculator, there are a few tips and tricks that we can use to make it a bit easier and avoid mistakes:
We may think that when using a calculator, mistakes will not happen. But it is possible for errors to occur during calculations.
What is the volume of a torus with a major radius of 5 cm and a minor radius of 2 cm?
Use the formula: Volume = 2π^2Rr^2 Volume = 2π^2×5×2^2 Volume ≈ 2×9.87×5×4 Volume ≈ 394.78 cm³
By using the given major radius and minor radius in the formula, we calculate the volume of the torus to be approximately 394.78 cm³.
Calculate the volume of a torus where the major radius is 10 inches and the minor radius is 3 inches.
Use the formula: Volume = 2π^2Rr^2 Volume = 2π^2×10×3^2 Volume ≈ 2×9.87×10×9 Volume ≈ 1774.72 in³
After plugging the dimensions into the formula, the torus volume is approximately 1774.72 in³.
Find the volume of a torus with a major radius of 7 meters and a minor radius of 1 meter.
Use the formula: Volume = 2π^2Rr^2 Volume = 2π^2×7×1^2 Volume ≈ 2×9.87×7×1 Volume ≈ 138.16 m³
Using the provided radii, the volume of the torus is approximately 138.16 m³.
What is the volume of a torus with a major radius of 15 feet and a minor radius of 4 feet?
Use the formula: Volume = 2π^2Rr^2 Volume = 2π^2×15×4^2 Volume ≈ 2×9.87×15×16 Volume ≈ 4743.84 ft³
With the radii given, the calculated torus volume is approximately 4743.84 ft³.
Calculate the volume of a torus with a major radius of 12 cm and a minor radius of 5 cm.
Use the formula: Volume = 2π^2Rr^2 Volume = 2π^2×12×5^2 Volume ≈ 2×9.87×12×25 Volume ≈ 7413 cm³
Inserting the dimensions into the formula, we find the torus volume to be approximately 7413 cm³.
Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.
: She has songs for each table which helps her to remember the tables