Surface to Volume Ratio 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%

✖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 given Radius and Volume [R_A/V]

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Surface to Volume Ratio of Torus given Radius and Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Torus = (2/(sqrt(Volume of Torus/(4*(pi^2)*Radius of Torus))))
R_A/V = (2/(sqrt(V/(4*(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

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.
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_A/V = (2/(sqrt(V/(4*(pi^2)*r)))) --> (2/(sqrt(12600/(4*(pi^2)*10))))

Evaluating ... ...

R_A/V = 0.354017386374035

STEP 3: Convert Result to Output's Unit

0.354017386374035 1 per Meter --> No Conversion Required

FINAL ANSWER

0.354017386374035 ≈ 0.354017 1 per Meter <-- Surface to Volume Ratio of Torus

(Calculation completed in 00.020 seconds)

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Walchand College of Engineering (WCE), Sangli

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< Surface to Volume Ratio of Torus Calculators

Surface to Volume Ratio of Torus given Radius and Total Surface Area

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

Surface to Volume Ratio of Torus given Radius and Hole Radius

LaTeX Go Surface to Volume Ratio of Torus = 2/(Radius of Torus-Hole Radius of Torus)

Surface to Volume Ratio of Torus given Radius and Breadth

LaTeX Go Surface to Volume Ratio of Torus = 2/((Breadth of Torus/2)-Radius of Torus)

Surface to Volume Ratio of Torus

LaTeX Go Surface to Volume Ratio of Torus = 2/Radius of Circular Section of Torus

Surface to Volume Ratio of Torus given Radius and Volume Formula

LaTeX Go

Surface to Volume Ratio of Torus = (2/(sqrt(Volume of Torus/(4*(pi^2)*Radius of Torus))))
R_A/V = (2/(sqrt(V/(4*(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 Surface to Volume Ratio of Torus given Radius and Volume?

Surface to Volume Ratio of Torus given Radius and Volume calculator uses Surface to Volume Ratio of Torus = (2/(sqrt(Volume of Torus/(4*(pi^2)*Radius of Torus)))) to calculate the Surface to Volume Ratio of Torus, Surface to Volume Ratio of Torus given Radius and Volume formula is defined as the numerical ratio of the total surface area of the Torus to the volume of the Torus, calculated using radius and volume of Torus. Surface to Volume Ratio of Torus is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Torus given Radius and Volume using this online calculator? To use this online calculator for Surface to Volume Ratio of Torus given Radius and Volume, enter Volume of Torus (V) & Radius of Torus (r) and hit the calculate button. Here is how the Surface to Volume Ratio of Torus given Radius and Volume calculation can be explained with given input values -> 0.354017 = (2/(sqrt(12600/(4*(pi^2)*10)))).

FAQ

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

Surface to Volume Ratio of Torus given Radius and Volume formula is defined as the numerical ratio of the total surface area of the Torus to the volume of the Torus, calculated using radius and volume of Torus and is represented as R_A/V = (2/(sqrt(V/(4*(pi^2)*r)))) or Surface to Volume Ratio of Torus = (2/(sqrt(Volume of Torus/(4*(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 Surface to Volume Ratio of Torus given Radius and Volume?

Surface to Volume Ratio of Torus given Radius and Volume formula is defined as the numerical ratio of the total surface area of the Torus to the volume of the Torus, calculated using radius and volume of Torus is calculated using Surface to Volume Ratio of Torus = (2/(sqrt(Volume of Torus/(4*(pi^2)*Radius of Torus)))). To calculate Surface to Volume Ratio 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 Surface to Volume Ratio of Torus?

In this formula, Surface to Volume Ratio 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 -

Surface to Volume Ratio of Torus = 2/Radius of Circular Section of Torus
Surface to Volume Ratio of Torus = 2/(Radius of Torus-Hole Radius of Torus)
Surface to Volume Ratio of Torus = 2/((Breadth of Torus/2)-Radius of Torus)

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