Breadth of Torus given Radius and Volume Calculator

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

✖Breadth of Torus is defined as the horizontal distance from the leftmost point to the rightmost point of the Torus.ⓘ Breadth of Torus given Radius and Volume [b]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Torus Formula PDF PDF Image

Breadth of Torus given Radius and Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Breadth of Torus = 2*(Radius of Torus+(sqrt(Volume of Torus/(2*pi^2*Radius of Torus))))
b = 2*(r+(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

Breadth of Torus - (Measured in Meter) - Breadth of Torus is defined as the horizontal distance from the leftmost point to the rightmost point of the 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.
Volume of Torus - (Measured in Cubic Meter) - Volume of Torus is the amount of three dimensional space occupied by Torus.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = 2*(r+(sqrt(V/(2*pi^2*r)))) --> 2*(10+(sqrt(12600/(2*pi^2*10))))

Evaluating ... ...

b = 35.9790294692353

STEP 3: Convert Result to Output's Unit

35.9790294692353 Meter --> No Conversion Required

FINAL ANSWER

35.9790294692353 ≈ 35.97903 Meter <-- Breadth of Torus

(Calculation completed in 00.004 seconds)

You are here -

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

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< Breadth of Torus Calculators

Breadth of Torus given Radius and Volume

LaTeX Go Breadth of Torus = 2*(Radius of Torus+(sqrt(Volume of Torus/(2*pi^2*Radius of Torus))))

Breadth of Torus given Radius and Total Surface Area

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

Breadth of Torus given Radius and Hole Radius

LaTeX Go Breadth of Torus = 2*(Radius of Torus+(Radius of Torus-Hole Radius of Torus))

Breadth of Torus

LaTeX Go Breadth of Torus = 2*(Radius of Torus+Radius of Circular Section of Torus)

< Breadth of Torus Calculators

Breadth of Torus given Radius and Volume

LaTeX Go Breadth of Torus = 2*(Radius of Torus+(sqrt(Volume of Torus/(2*pi^2*Radius of Torus))))

Breadth of Torus given Radius and Total Surface Area

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

Breadth of Torus

LaTeX Go Breadth of Torus = 2*(Radius of Torus+Radius of Circular Section of Torus)

Breadth of Torus given Radius and Volume Formula

LaTeX Go

Breadth of Torus = 2*(Radius of Torus+(sqrt(Volume of Torus/(2*pi^2*Radius of Torus))))
b = 2*(r+(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 Breadth of Torus given Radius and Volume?

Breadth of Torus given Radius and Volume calculator uses Breadth of Torus = 2*(Radius of Torus+(sqrt(Volume of Torus/(2*pi^2*Radius of Torus)))) to calculate the Breadth of Torus, Breadth of Torus given Radius and Volume formula is defined as the horizontal distance from the leftmost point to the rightmost point of the Torus, calculated using radius and volume of Torus. Breadth of Torus is denoted by b symbol.

How to calculate Breadth of Torus given Radius and Volume using this online calculator? To use this online calculator for Breadth of Torus given Radius and Volume, enter Radius of Torus (r) & Volume of Torus (V) and hit the calculate button. Here is how the Breadth of Torus given Radius and Volume calculation can be explained with given input values -> 35.97903 = 2*(10+(sqrt(12600/(2*pi^2*10)))).

FAQ

What is Breadth of Torus given Radius and Volume?

Breadth of Torus given Radius and Volume formula is defined as the horizontal distance from the leftmost point to the rightmost point of the Torus, calculated using radius and volume of Torus and is represented as b = 2*(r+(sqrt(V/(2*pi^2*r)))) or Breadth of Torus = 2*(Radius of Torus+(sqrt(Volume of Torus/(2*pi^2*Radius of 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 & Volume of Torus is the amount of three dimensional space occupied by Torus.

How to calculate Breadth of Torus given Radius and Volume?

Breadth of Torus given Radius and Volume formula is defined as the horizontal distance from the leftmost point to the rightmost point of the Torus, calculated using radius and volume of Torus is calculated using Breadth of Torus = 2*(Radius of Torus+(sqrt(Volume of Torus/(2*pi^2*Radius of Torus)))). To calculate Breadth of Torus given Radius and Volume, you need Radius of Torus (r) & Volume of Torus (V). With our tool, you need to enter the respective value for Radius of Torus & Volume 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 Breadth of Torus?

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

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

Home

FREE PDFs

🔍 Search