Radius of Circular Section of Torus given Radius and Volume Calculator

✖Volume of Torus is the amount of three dimensional space occupied by Torus.ⓘ Volume of Torus [V]			+10% -10%
✖Radius of Torus is the line connecting the center of the overall Torus to the center of a circular cross-section of the Torus.ⓘ Radius of Torus [r]			+10% -10%

✖Radius of Circular Section of Torus is the line connecting the center of the circular cross section to any point on the circumference of the circular cross section of the Torus.ⓘ Radius of Circular Section of Torus given Radius and Volume [r_{Circular Section}]

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Radius of Circular Section of Torus given Radius and Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Circular Section of Torus = sqrt(Volume of Torus/(2*pi^2*Radius of Torus))
r_{Circular Section} = sqrt(V/(2*pi^2*r))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Radius of Circular Section of Torus - (Measured in Meter) - Radius of Circular Section of Torus is the line connecting the center of the circular cross section to any point on the circumference of the circular cross section of the Torus.
Volume of Torus - (Measured in Cubic Meter) - Volume of Torus is the amount of three dimensional space occupied by Torus.
Radius of Torus - (Measured in Meter) - Radius of Torus is the line connecting the center of the overall Torus to the center of a circular cross-section of the Torus.

STEP 1: Convert Input(s) to Base Unit

Volume of Torus: 12600 Cubic Meter --> 12600 Cubic Meter No Conversion Required
Radius of Torus: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_{Circular Section} = sqrt(V/(2*pi^2*r)) --> sqrt(12600/(2*pi^2*10))

Evaluating ... ...

r_{Circular Section} = 7.98951473461767

STEP 3: Convert Result to Output's Unit

7.98951473461767 Meter --> No Conversion Required

FINAL ANSWER

7.98951473461767 ≈ 7.989515 Meter <-- Radius of Circular Section of Torus

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 3D Geometry » Torus » Radius of Torus » Radius of Circular Section of Torus » Radius of Circular Section of Torus given Radius and Volume

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< Radius of Circular Section of Torus Calculators

Radius of Circular Section of Torus given Radius and Volume

LaTeX Go Radius of Circular Section of Torus = sqrt(Volume of Torus/(2*pi^2*Radius of Torus))

Radius of Circular Section of Torus given Radius and Total Surface Area

LaTeX Go Radius of Circular Section of Torus = Total Surface Area of Torus/(4*pi^2*Radius of Torus)

Radius of Circular Section of Torus given Radius and Breadth

LaTeX Go Radius of Circular Section of Torus = (Breadth of Torus/2)-Radius of Torus

Radius of Circular Section of Torus

LaTeX Go Radius of Circular Section of Torus = Radius of Torus-Hole Radius of Torus

< Radius of Circular Section of Torus Calculators

Radius of Circular Section of Torus given Radius and Volume

LaTeX Go Radius of Circular Section of Torus = sqrt(Volume of Torus/(2*pi^2*Radius of Torus))

Radius of Circular Section of Torus

LaTeX Go Radius of Circular Section of Torus = Radius of Torus-Hole Radius of Torus

Radius of Circular Section of Torus given Radius and Volume Formula

LaTeX Go

Radius of Circular Section of Torus = sqrt(Volume of Torus/(2*pi^2*Radius of Torus))
r_{Circular Section} = sqrt(V/(2*pi^2*r))

What is Torus?

In geometry, a Torus (plural tori) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis that is coplanar with the circle.

If the axis of revolution does not touch the circle, the surface has a ring shape and is called a torus of revolution. If the axis of revolution is tangent to the circle, the surface is a horn torus. If the axis of revolution passes twice through the circle, the surface is a spindle torus. If the axis of revolution passes through the center of the circle, the surface is a degenerate torus, a double-covered sphere. If the revolved curve is not a circle, the surface is a related shape, a toroid.

How to Calculate Radius of Circular Section of Torus given Radius and Volume?

Radius of Circular Section of Torus given Radius and Volume calculator uses Radius of Circular Section of Torus = sqrt(Volume of Torus/(2*pi^2*Radius of Torus)) to calculate the Radius of Circular Section of Torus, Radius of Circular Section of Torus given Radius and Volume formula is defined as the line connecting the center of the circular cross section to any point on circumference of the circular cross section of Torus, calculated using radius and volume of Torus. Radius of Circular Section of Torus is denoted by r_{Circular Section} symbol.

How to calculate Radius of Circular Section of Torus given Radius and Volume using this online calculator? To use this online calculator for Radius of Circular Section of Torus given Radius and Volume, enter Volume of Torus (V) & Radius of Torus (r) and hit the calculate button. Here is how the Radius of Circular Section of Torus given Radius and Volume calculation can be explained with given input values -> 7.989515 = sqrt(12600/(2*pi^2*10)).

FAQ

What is Radius of Circular Section of Torus given Radius and Volume?

Radius of Circular Section of Torus given Radius and Volume formula is defined as the line connecting the center of the circular cross section to any point on circumference of the circular cross section of Torus, calculated using radius and volume of Torus and is represented as r_{Circular Section} = sqrt(V/(2*pi^2*r)) or Radius of Circular Section of Torus = sqrt(Volume of Torus/(2*pi^2*Radius of Torus)). Volume of Torus is the amount of three dimensional space occupied by Torus & Radius of Torus is the line connecting the center of the overall Torus to the center of a circular cross-section of the Torus.

How to calculate Radius of Circular Section of Torus given Radius and Volume?

Radius of Circular Section of Torus given Radius and Volume formula is defined as the line connecting the center of the circular cross section to any point on circumference of the circular cross section of Torus, calculated using radius and volume of Torus is calculated using Radius of Circular Section of Torus = sqrt(Volume of Torus/(2*pi^2*Radius of Torus)). To calculate Radius of Circular Section of Torus given Radius and Volume, you need Volume of Torus (V) & Radius of Torus (r). With our tool, you need to enter the respective value for Volume of Torus & Radius of Torus and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Radius of Circular Section of Torus?

In this formula, Radius of Circular Section of Torus uses Volume of Torus & Radius of Torus. We can use 3 other way(s) to calculate the same, which is/are as follows -

Radius of Circular Section of Torus = Radius of Torus-Hole Radius of Torus
Radius of Circular Section of Torus = (Breadth of Torus/2)-Radius of Torus
Radius of Circular Section of Torus = Total Surface Area of Torus/(4*pi^2*Radius of Torus)

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