Surface to Volume Ratio of Spherical Sector given Total Surface Area Calculator

✖Total Surface Area of Spherical Sector is defined as the total quantity of two-dimensional space enclosed on the entire surface of the Spherical Sector.ⓘ Total Surface Area of Spherical Sector [TSA]			+10% -10%
✖Spherical Radius of Spherical Sector is the distance from centre to any point on the surface of the sphere from which the Spherical Sector is cut.ⓘ Spherical Radius of Spherical Sector [r_Sphere]			+10% -10%
✖Spherical Cap Radius of Spherical Sector is defined as the distance between centre and any point on the circumference of the circle at the bottom level of the cap surface of the Spherical Sector.ⓘ Spherical Cap Radius of Spherical Sector [r_Cap]			+10% -10%

✖Surface to Volume Ratio of Spherical Sector is defined as the numerical ratio of the total surface area of a Spherical Sector to the volume of the Spherical Sector.ⓘ Surface to Volume Ratio of Spherical Sector given Total Surface Area [R_A/V]

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Surface to Volume Ratio of Spherical Sector given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Spherical Sector = (Total Surface Area of Spherical Sector/(pi*Spherical Radius of Spherical Sector))/((Spherical Radius of Spherical Sector*(Total Surface Area of Spherical Sector/(pi*Spherical Radius of Spherical Sector)-Spherical Cap Radius of Spherical Sector))/3)
R_A/V = (TSA/(pi*r_Sphere))/((r_Sphere*(TSA/(pi*r_Sphere)-r_Cap))/3)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Surface to Volume Ratio of Spherical Sector - (Measured in 1 per Meter) - Surface to Volume Ratio of Spherical Sector is defined as the numerical ratio of the total surface area of a Spherical Sector to the volume of the Spherical Sector.
Total Surface Area of Spherical Sector - (Measured in Square Meter) - Total Surface Area of Spherical Sector is defined as the total quantity of two-dimensional space enclosed on the entire surface of the Spherical Sector.
Spherical Radius of Spherical Sector - (Measured in Meter) - Spherical Radius of Spherical Sector is the distance from centre to any point on the surface of the sphere from which the Spherical Sector is cut.
Spherical Cap Radius of Spherical Sector - (Measured in Meter) - Spherical Cap Radius of Spherical Sector is defined as the distance between centre and any point on the circumference of the circle at the bottom level of the cap surface of the Spherical Sector.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Spherical Sector: 500 Square Meter --> 500 Square Meter No Conversion Required
Spherical Radius of Spherical Sector: 10 Meter --> 10 Meter No Conversion Required
Spherical Cap Radius of Spherical Sector: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = (TSA/(pi*r_Sphere))/((r_Sphere*(TSA/(pi*r_Sphere)-r_Cap))/3) --> (500/(pi*10))/((10*(500/(pi*10)-8))/3)

Evaluating ... ...

R_A/V = 0.603202795208091

STEP 3: Convert Result to Output's Unit

0.603202795208091 1 per Meter --> No Conversion Required

FINAL ANSWER

0.603202795208091 ≈ 0.603203 1 per Meter <-- Surface to Volume Ratio of Spherical Sector

(Calculation completed in 00.004 seconds)

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< Surface to Volume Ratio of Spherical Sector Calculators

Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius

LaTeX Go Surface to Volume Ratio of Spherical Sector = ((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector)/(2*Total Surface Area of Spherical Sector/(pi*((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector))*Spherical Cap Height of Spherical Sector/3)

Surface to Volume Ratio of Spherical Sector

LaTeX Go Surface to Volume Ratio of Spherical Sector = ((2*Spherical Cap Height of Spherical Sector)+sqrt(Spherical Cap Height of Spherical Sector*((2*Spherical Radius of Spherical Sector)-Spherical Cap Height of Spherical Sector)))/(2*Spherical Radius of Spherical Sector*Spherical Cap Height of Spherical Sector/3)

Surface to Volume Ratio of Spherical Sector given Spherical Cap Radius

LaTeX Go Surface to Volume Ratio of Spherical Sector = ((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector)/(((Spherical Cap Radius of Spherical Sector^2)/Spherical Cap Height of Spherical Sector+Spherical Cap Height of Spherical Sector)*Spherical Cap Height of Spherical Sector/3)

Surface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height

LaTeX Go Surface to Volume Ratio of Spherical Sector = ((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector)/(2*Spherical Cap Height of Spherical Sector/3*sqrt((3*Volume of Spherical Sector)/(2*pi*Spherical Cap Height of Spherical Sector)))

Surface to Volume Ratio of Spherical Sector given Total Surface Area Formula

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What is Spherical Sector?

In geometry, a Spherical Sector, also known as a spherical cone, is a portion of a sphere or of a ball defined by a conical boundary with apex at the center of the sphere. It can be described as the union of a spherical cap and the cone formed by the center of the sphere and the base of the cap. It is the three-dimensional analogue of the sector of a circle.

How to Calculate Surface to Volume Ratio of Spherical Sector given Total Surface Area?

Surface to Volume Ratio of Spherical Sector given Total Surface Area calculator uses Surface to Volume Ratio of Spherical Sector = (Total Surface Area of Spherical Sector/(pi*Spherical Radius of Spherical Sector))/((Spherical Radius of Spherical Sector*(Total Surface Area of Spherical Sector/(pi*Spherical Radius of Spherical Sector)-Spherical Cap Radius of Spherical Sector))/3) to calculate the Surface to Volume Ratio of Spherical Sector, Surface to Volume Ratio of Spherical Sector given Total Surface Area formula is defined as the numerical ratio of the total surface area of a Spherical Sector to the volume of the Spherical Sector, calculated using its total surface area. Surface to Volume Ratio of Spherical Sector is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Spherical Sector given Total Surface Area using this online calculator? To use this online calculator for Surface to Volume Ratio of Spherical Sector given Total Surface Area, enter Total Surface Area of Spherical Sector (TSA), Spherical Radius of Spherical Sector (r_Sphere) & Spherical Cap Radius of Spherical Sector (r_Cap) and hit the calculate button. Here is how the Surface to Volume Ratio of Spherical Sector given Total Surface Area calculation can be explained with given input values -> 0.603203 = (500/(pi*10))/((10*(500/(pi*10)-8))/3).

FAQ

What is Surface to Volume Ratio of Spherical Sector given Total Surface Area?

Surface to Volume Ratio of Spherical Sector given Total Surface Area formula is defined as the numerical ratio of the total surface area of a Spherical Sector to the volume of the Spherical Sector, calculated using its total surface area and is represented as R_A/V = (TSA/(pi*r_Sphere))/((r_Sphere*(TSA/(pi*r_Sphere)-r_Cap))/3) or Surface to Volume Ratio of Spherical Sector = (Total Surface Area of Spherical Sector/(pi*Spherical Radius of Spherical Sector))/((Spherical Radius of Spherical Sector*(Total Surface Area of Spherical Sector/(pi*Spherical Radius of Spherical Sector)-Spherical Cap Radius of Spherical Sector))/3). Total Surface Area of Spherical Sector is defined as the total quantity of two-dimensional space enclosed on the entire surface of the Spherical Sector, Spherical Radius of Spherical Sector is the distance from centre to any point on the surface of the sphere from which the Spherical Sector is cut & Spherical Cap Radius of Spherical Sector is defined as the distance between centre and any point on the circumference of the circle at the bottom level of the cap surface of the Spherical Sector.

How to calculate Surface to Volume Ratio of Spherical Sector given Total Surface Area?

Surface to Volume Ratio of Spherical Sector given Total Surface Area formula is defined as the numerical ratio of the total surface area of a Spherical Sector to the volume of the Spherical Sector, calculated using its total surface area is calculated using Surface to Volume Ratio of Spherical Sector = (Total Surface Area of Spherical Sector/(pi*Spherical Radius of Spherical Sector))/((Spherical Radius of Spherical Sector*(Total Surface Area of Spherical Sector/(pi*Spherical Radius of Spherical Sector)-Spherical Cap Radius of Spherical Sector))/3). To calculate Surface to Volume Ratio of Spherical Sector given Total Surface Area, you need Total Surface Area of Spherical Sector (TSA), Spherical Radius of Spherical Sector (r_Sphere) & Spherical Cap Radius of Spherical Sector (r_Cap). With our tool, you need to enter the respective value for Total Surface Area of Spherical Sector, Spherical Radius of Spherical Sector & Spherical Cap Radius of Spherical Sector 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 Spherical Sector?

In this formula, Surface to Volume Ratio of Spherical Sector uses Total Surface Area of Spherical Sector, Spherical Radius of Spherical Sector & Spherical Cap Radius of Spherical Sector. We can use 3 other way(s) to calculate the same, which is/are as follows -

Surface to Volume Ratio of Spherical Sector = ((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector)/(((Spherical Cap Radius of Spherical Sector^2)/Spherical Cap Height of Spherical Sector+Spherical Cap Height of Spherical Sector)*Spherical Cap Height of Spherical Sector/3)
Surface to Volume Ratio of Spherical Sector = ((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector)/(2*Total Surface Area of Spherical Sector/(pi*((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector))*Spherical Cap Height of Spherical Sector/3)
Surface to Volume Ratio of Spherical Sector = ((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector)/(2*Spherical Cap Height of Spherical Sector/3*sqrt((3*Volume of Spherical Sector)/(2*pi*Spherical Cap Height of Spherical Sector)))

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