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)
rHole = (V/(2*pi^2*rCircular Section^2))-(rCircular 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
rHole = (V/(2*pi^2*rCircular Section^2))-(rCircular Section) --> (12600/(2*pi^2*8^2))-(8)
Evaluating ... ...
rHole = 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 00.004 seconds)

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Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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8 Hole Radius of Torus Calculators

Hole Radius of Torus given Radius of Circular Section and Total Surface Area
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
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 and Volume
Go Hole Radius of Torus = Radius of Torus-(sqrt(Volume of Torus/(2*pi^2*Radius of Torus)))
Hole Radius of Torus given Radius and Total Surface Area
Go Hole Radius of Torus = Radius of Torus-(Total Surface Area of Torus/(4*pi^2*Radius of Torus))
Hole Radius of Torus given Radius and Breadth
Go Hole Radius of Torus = Radius of Torus-((Breadth of Torus/2)-Radius of Torus)
Hole Radius of Torus given Radius of Circular Section and Breadth
Go Hole Radius of Torus = (Breadth of Torus/2)-(2*Radius of Circular Section of Torus)
Hole Radius of Torus given Radius and Surface to Volume Ratio
Go Hole Radius of Torus = Radius of Torus-(2/Surface to Volume Ratio of Torus)
Hole Radius of Torus
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

Hole Radius of Torus = (Volume of Torus/(2*pi^2*Radius of Circular Section of Torus^2))-(Radius of Circular Section of Torus)
rHole = (V/(2*pi^2*rCircular Section^2))-(rCircular 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 rHole 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 (rCircular 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 rHole = (V/(2*pi^2*rCircular Section^2))-(rCircular 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 (rCircular 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 7 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)
  • Hole Radius of Torus = Radius of Torus-((Breadth of Torus/2)-Radius of Torus)
  • Hole Radius of Torus = Radius of Torus-(sqrt(Volume of Torus/(2*pi^2*Radius of Torus)))
  • Hole Radius of Torus = Radius of Torus-(2/Surface to Volume Ratio of Torus)
  • Hole Radius of Torus = Radius of Torus-(Total Surface Area of Torus/(4*pi^2*Radius of Torus))
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