Volume of Torus given Radius and Surface to Volume Ratio 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%
✖Surface to Volume Ratio of Torus is the numerical ratio of the total surface area of Torus to the volume of the Torus.ⓘ Surface to Volume Ratio of Torus [R_A/V]			+10% -10%

✖Volume of Torus is the amount of three dimensional space occupied by Torus.ⓘ Volume of Torus given Radius and Surface to Volume Ratio [V]

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Formula

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Volume of Torus given Radius and Surface to Volume Ratio

Formula

`"V" = (2*(pi^2)*("r")*((2/"R"_{"A/V"})^2))`

Example

`"12633.09m³"=(2*(pi^2)*("10m")*((2/"0.25m⁻¹")^2))`

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Volume of Torus given Radius and Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Torus = (2*(pi^2)*(Radius of Torus)*((2/Surface to Volume Ratio of Torus)^2))
V = (2*(pi^2)*(r)*((2/R_A/V)^2))
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Surface to Volume Ratio of Torus - (Measured in 1 per Meter) - Surface to Volume Ratio of Torus is the numerical ratio of the total surface area of Torus to the volume of the Torus.

STEP 1: Convert Input(s) to Base Unit

Radius of Torus: 10 Meter --> 10 Meter No Conversion Required
Surface to Volume Ratio of Torus: 0.25 1 per Meter --> 0.25 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (2*(pi^2)*(r)*((2/R_A/V)^2)) --> (2*(pi^2)*(10)*((2/0.25)^2))

Evaluating ... ...

V = 12633.0936333944

STEP 3: Convert Result to Output's Unit

12633.0936333944 Cubic Meter --> No Conversion Required

FINAL ANSWER

12633.0936333944 ≈ 12633.09 Cubic Meter <-- Volume of Torus

(Calculation completed in 00.007 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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St Joseph's College (SJC), Bengaluru

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< 8 Volume of Torus Calculators

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

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

Volume of Torus given Radius of Circular Section and Hole Radius

Go Volume of Torus = (2*(pi^2)*(Radius of Circular Section of Torus^2)*(Hole Radius of Torus+Radius of Circular Section of Torus))

Volume of Torus given Radius of Circular Section and Breadth

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

Volume of Torus given Radius and Total Surface Area

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

Volume of Torus given Radius and Hole Radius

Go Volume of Torus = (2*(pi^2)*(Radius of Torus)*((Radius of Torus-Hole Radius of Torus)^2))

Volume of Torus given Radius and Breadth

Go Volume of Torus = (2*(pi^2)*(Radius of Torus)*(((Breadth of Torus/2)-Radius of Torus)^2))

Volume of Torus given Radius and Surface to Volume Ratio

Go Volume of Torus = (2*(pi^2)*(Radius of Torus)*((2/Surface to Volume Ratio of Torus)^2))

Volume of Torus

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

Volume of Torus given Radius and Surface to Volume Ratio Formula

Volume of Torus = (2*(pi^2)*(Radius of Torus)*((2/Surface to Volume Ratio of Torus)^2))
V = (2*(pi^2)*(r)*((2/R_A/V)^2))

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 Volume of Torus given Radius and Surface to Volume Ratio?

Volume of Torus given Radius and Surface to Volume Ratio calculator uses Volume of Torus = (2*(pi^2)*(Radius of Torus)*((2/Surface to Volume Ratio of Torus)^2)) to calculate the Volume of Torus, Volume of Torus given Radius and Surface to Volume Ratio formula is defined as the amount of three-dimensional space occupied by the Torus, calculated using radius and surface to volume ratio of Torus. Volume of Torus is denoted by V symbol.

How to calculate Volume of Torus given Radius and Surface to Volume Ratio using this online calculator? To use this online calculator for Volume of Torus given Radius and Surface to Volume Ratio, enter Radius of Torus (r) & Surface to Volume Ratio of Torus (R_A/V) and hit the calculate button. Here is how the Volume of Torus given Radius and Surface to Volume Ratio calculation can be explained with given input values -> 12633.09 = (2*(pi^2)*(10)*((2/0.25)^2)).

FAQ

What is Volume of Torus given Radius and Surface to Volume Ratio?

Volume of Torus given Radius and Surface to Volume Ratio formula is defined as the amount of three-dimensional space occupied by the Torus, calculated using radius and surface to volume ratio of Torus and is represented as V = (2*(pi^2)*(r)*((2/R_A/V)^2)) or Volume of Torus = (2*(pi^2)*(Radius of Torus)*((2/Surface to Volume Ratio of Torus)^2)). Radius of Torus is the line connecting the center of the overall Torus to the center of a circular cross-section of the Torus & Surface to Volume Ratio of Torus is the numerical ratio of the total surface area of Torus to the volume of the Torus.

How to calculate Volume of Torus given Radius and Surface to Volume Ratio?

Volume of Torus given Radius and Surface to Volume Ratio formula is defined as the amount of three-dimensional space occupied by the Torus, calculated using radius and surface to volume ratio of Torus is calculated using Volume of Torus = (2*(pi^2)*(Radius of Torus)*((2/Surface to Volume Ratio of Torus)^2)). To calculate Volume of Torus given Radius and Surface to Volume Ratio, you need Radius of Torus (r) & Surface to Volume Ratio of Torus (R_A/V). With our tool, you need to enter the respective value for Radius of Torus & Surface to Volume Ratio 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 Volume of Torus?

In this formula, Volume of Torus uses Radius of Torus & Surface to Volume Ratio of Torus. We can use 7 other way(s) to calculate the same, which is/are as follows -

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

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