Arc Length of Spherical Corner given Surface to Volume Ratio Calculator

✖Surface to Volume Ratio of Spherical Corner is the numerical ratio of the total surface area of a Spherical Corner to the volume of the Spherical Corner.ⓘ Surface to Volume Ratio of Spherical Corner [R_A/V]

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✖Arc Length of Spherical Corner is the length of any of the three curved edges of the Spherical Corner which together form the boundary of the curved surface of the Spherical Corner.ⓘ Arc Length of Spherical Corner given Surface to Volume Ratio [l_Arc]

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Formula

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Arc Length of Spherical Corner given Surface to Volume Ratio

Formula

`"l"_{"Arc"} = (15*pi)/(4*"R"_{"A/V"})`

Example

`"14.72622m"=(15*pi)/(4*"0.8m⁻¹")`

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Arc Length of Spherical Corner given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Arc Length of Spherical Corner = (15*pi)/(4*Surface to Volume Ratio of Spherical Corner)
l_Arc = (15*pi)/(4*R_A/V)
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Arc Length of Spherical Corner - (Measured in Meter) - Arc Length of Spherical Corner is the length of any of the three curved edges of the Spherical Corner which together form the boundary of the curved surface of the Spherical Corner.
Surface to Volume Ratio of Spherical Corner - (Measured in 1 per Meter) - Surface to Volume Ratio of Spherical Corner is the numerical ratio of the total surface area of a Spherical Corner to the volume of the Spherical Corner.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Spherical Corner: 0.8 1 per Meter --> 0.8 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Arc = (15*pi)/(4*R_A/V) --> (15*pi)/(4*0.8)

Evaluating ... ...

l_Arc = 14.7262155637022

STEP 3: Convert Result to Output's Unit

14.7262155637022 Meter --> No Conversion Required

FINAL ANSWER

14.7262155637022 ≈ 14.72622 Meter <-- Arc Length of Spherical Corner

(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru

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Indian Institute of Information Technology (IIIT), Bhopal

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< 4 Arc Length of Spherical Corner Calculators

Arc Length of Spherical Corner given Total Surface Area

Go Arc Length of Spherical Corner = sqrt((pi*Total Surface Area of Spherical Corner)/5)

Arc Length of Spherical Corner given Volume

Go Arc Length of Spherical Corner = pi/2*((6*Volume of Spherical Corner)/pi)^(1/3)

Arc Length of Spherical Corner given Surface to Volume Ratio

Go Arc Length of Spherical Corner = (15*pi)/(4*Surface to Volume Ratio of Spherical Corner)

Arc Length of Spherical Corner

Go Arc Length of Spherical Corner = (pi*Radius of Spherical Corner)/2

Arc Length of Spherical Corner given Surface to Volume Ratio Formula

Arc Length of Spherical Corner = (15*pi)/(4*Surface to Volume Ratio of Spherical Corner)
l_Arc = (15*pi)/(4*R_A/V)

What is a Spherical Corner?

If a sphere is cut into 8 equal parts by three mutually perpendicular planes passing through the center of the sphere, then one such part is called the Spherical Corner. Geometrically, a Spherical Corner consists of 1 curved surface which is one eighth part of the surface of sphere and 3 flat surfaces each of which are equal to the one fourth of the great circle of the sphere.

How to Calculate Arc Length of Spherical Corner given Surface to Volume Ratio?

Arc Length of Spherical Corner given Surface to Volume Ratio calculator uses Arc Length of Spherical Corner = (15*pi)/(4*Surface to Volume Ratio of Spherical Corner) to calculate the Arc Length of Spherical Corner, Arc Length of Spherical Corner given Surface to Volume Ratio formula is defined as the length of any of the three curved edges of the Spherical Corner which together form the boundary of the curved surface of the Spherical Corner, and calculated using the surface to volume ratio of the Spherical Corner. Arc Length of Spherical Corner is denoted by l_Arc symbol.

How to calculate Arc Length of Spherical Corner given Surface to Volume Ratio using this online calculator? To use this online calculator for Arc Length of Spherical Corner given Surface to Volume Ratio, enter Surface to Volume Ratio of Spherical Corner (R_A/V) and hit the calculate button. Here is how the Arc Length of Spherical Corner given Surface to Volume Ratio calculation can be explained with given input values -> 14.72622 = (15*pi)/(4*0.8).

FAQ

What is Arc Length of Spherical Corner given Surface to Volume Ratio?

Arc Length of Spherical Corner given Surface to Volume Ratio formula is defined as the length of any of the three curved edges of the Spherical Corner which together form the boundary of the curved surface of the Spherical Corner, and calculated using the surface to volume ratio of the Spherical Corner and is represented as l_Arc = (15*pi)/(4*R_A/V) or Arc Length of Spherical Corner = (15*pi)/(4*Surface to Volume Ratio of Spherical Corner). Surface to Volume Ratio of Spherical Corner is the numerical ratio of the total surface area of a Spherical Corner to the volume of the Spherical Corner.

How to calculate Arc Length of Spherical Corner given Surface to Volume Ratio?

Arc Length of Spherical Corner given Surface to Volume Ratio formula is defined as the length of any of the three curved edges of the Spherical Corner which together form the boundary of the curved surface of the Spherical Corner, and calculated using the surface to volume ratio of the Spherical Corner is calculated using Arc Length of Spherical Corner = (15*pi)/(4*Surface to Volume Ratio of Spherical Corner). To calculate Arc Length of Spherical Corner given Surface to Volume Ratio, you need Surface to Volume Ratio of Spherical Corner (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio of Spherical Corner 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 Arc Length of Spherical Corner?

In this formula, Arc Length of Spherical Corner uses Surface to Volume Ratio of Spherical Corner. We can use 3 other way(s) to calculate the same, which is/are as follows -

Arc Length of Spherical Corner = (pi*Radius of Spherical Corner)/2
Arc Length of Spherical Corner = sqrt((pi*Total Surface Area of Spherical Corner)/5)
Arc Length of Spherical Corner = pi/2*((6*Volume of Spherical Corner)/pi)^(1/3)

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