Hole Radius of Torus given Radius of Circular Section and Volume Calculator

✖Volume of Torus is the amount of three dimensional space occupied by Torus.ⓘ Volume of Torus [V]			+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 [r_{Circular Section}]			+10% -10%

✖Hole Radius of Torus is the shortest line connecting the center of the Torus to the nearest point on the circumference of the circular cross-section of the Torus.ⓘ Hole Radius of Torus given Radius of Circular Section and Volume [r_Hole]

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Hole Radius of Torus given Radius of Circular Section and Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Hole Radius of Torus - (Measured in Meter) - Hole Radius of Torus is the shortest line connecting the center of the Torus to the nearest 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 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.

STEP 1: Convert Input(s) to Base Unit

Volume of Torus: 12600 Cubic Meter --> 12600 Cubic Meter No Conversion Required
Radius of Circular Section of Torus: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_Hole = (V/(2*pi^2*r_{Circular Section}^2))-(r_{Circular Section}) --> (12600/(2*pi^2*8^2))-(8)

Evaluating ... ...

r_Hole = 1.97380401479263

STEP 3: Convert Result to Output's Unit

1.97380401479263 Meter --> No Conversion Required

FINAL ANSWER

1.97380401479263 ≈ 1.973804 Meter <-- Hole Radius of Torus

(Calculation completed in 00.020 seconds)

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

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< Hole Radius of Torus Calculators

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

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

Hole Radius of Torus given Radius of Circular Section and Volume

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

Hole Radius of Torus given Radius of Circular Section and Breadth

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

Hole Radius of Torus

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

Hole Radius of Torus given Radius of Circular Section and Volume Formula

LaTeX Go

Hole Radius of Torus = (Volume of Torus/(2*pi^2*Radius of Circular Section of Torus^2))-(Radius of Circular Section of Torus)
r_Hole = (V/(2*pi^2*r_{Circular Section}^2))-(r_{Circular Section})

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 Hole Radius of Torus given Radius of Circular Section and Volume?

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

How to calculate Hole Radius of Torus given Radius of Circular Section and Volume using this online calculator? To use this online calculator for Hole Radius of Torus given Radius of Circular Section and Volume, enter Volume of Torus (V) & Radius of Circular Section of Torus (r_{Circular Section}) and hit the calculate button. Here is how the Hole Radius of Torus given Radius of Circular Section and Volume calculation can be explained with given input values -> 1.973804 = (12600/(2*pi^2*8^2))-(8).

FAQ

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

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

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

Hole Radius of Torus given Radius of Circular Section and Volume formula is defined as the shortest line connecting the center of Torus to nearest point on circumference of the circular cross section of Torus, calculated using radius of circular section and volume of Torus is calculated using Hole Radius of Torus = (Volume of Torus/(2*pi^2*Radius of Circular Section of Torus^2))-(Radius of Circular Section of Torus). To calculate Hole Radius of Torus given Radius of Circular Section and Volume, you need Volume of Torus (V) & Radius of Circular Section of Torus (r_{Circular Section}). With our tool, you need to enter the respective value for Volume of Torus & Radius of Circular Section 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 Hole Radius of Torus?

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

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

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