Spherical Cap Height 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%

✖Spherical Cap Height of Spherical Sector is the vertical distance from the topmost point to the bottom level of the cap surface of the Spherical Sector.ⓘ Spherical Cap Height of Spherical Sector given Total Surface Area [h_Cap]

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Formula

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Spherical Cap Height of Spherical Sector given Total Surface Area

Formula

`"h"_{"Cap"} = ("TSA"/(pi*"r"_{"Sphere"})-"r"_{"Cap"})/2`

Example

`"3.957747m"=("500m²"/(pi*"10m")-"8m")/2`

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Spherical Cap Height of Spherical Sector given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Spherical Cap Height of Spherical Sector = (Total Surface Area of Spherical Sector/(pi*Spherical Radius of Spherical Sector)-Spherical Cap Radius of Spherical Sector)/2
h_Cap = (TSA/(pi*r_Sphere)-r_Cap)/2
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Spherical Cap Height of Spherical Sector - (Measured in Meter) - Spherical Cap Height of Spherical Sector is the vertical distance from the topmost point to the bottom level of the cap surface 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

h_Cap = (TSA/(pi*r_Sphere)-r_Cap)/2 --> (500/(pi*10)-8)/2

Evaluating ... ...

h_Cap = 3.95774715459477

STEP 3: Convert Result to Output's Unit

3.95774715459477 Meter --> No Conversion Required

FINAL ANSWER

3.95774715459477 ≈ 3.957747 Meter <-- Spherical Cap Height of Spherical Sector

(Calculation completed in 00.004 seconds)

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< 3 Spherical Cap Height of Spherical Sector Calculators

Spherical Cap Height of Spherical Sector given Total Surface Area

Go Spherical Cap Height of Spherical Sector = (Total Surface Area of Spherical Sector/(pi*Spherical Radius of Spherical Sector)-Spherical Cap Radius of Spherical Sector)/2

Spherical Cap Height of Spherical Sector given Surface to Volume Ratio

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

Spherical Cap Height of Spherical Sector given Volume

Go Spherical Cap Height of Spherical Sector = (3*Volume of Spherical Sector)/(2*pi*Spherical Radius of Spherical Sector^2)

Spherical Cap Height of Spherical Sector given Total Surface Area Formula

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 Spherical Cap Height of Spherical Sector given Total Surface Area?

Spherical Cap Height of Spherical Sector given Total Surface Area calculator uses Spherical Cap Height of Spherical Sector = (Total Surface Area of Spherical Sector/(pi*Spherical Radius of Spherical Sector)-Spherical Cap Radius of Spherical Sector)/2 to calculate the Spherical Cap Height of Spherical Sector, Spherical Cap Height of Spherical Sector given Total Surface Area is defined as the vertical distance from top most point to the bottom level of the cap surface of the Spherical Sector, calculated using its total surface area. Spherical Cap Height of Spherical Sector is denoted by h_Cap symbol.

How to calculate Spherical Cap Height of Spherical Sector given Total Surface Area using this online calculator? To use this online calculator for Spherical Cap Height 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 Spherical Cap Height of Spherical Sector given Total Surface Area calculation can be explained with given input values -> 3.957747 = (500/(pi*10)-8)/2.

FAQ

What is Spherical Cap Height of Spherical Sector given Total Surface Area?

Spherical Cap Height of Spherical Sector given Total Surface Area is defined as the vertical distance from top most point to the bottom level of the cap surface of the Spherical Sector, calculated using its total surface area and is represented as h_Cap = (TSA/(pi*r_Sphere)-r_Cap)/2 or Spherical Cap Height of Spherical Sector = (Total Surface Area of Spherical Sector/(pi*Spherical Radius of Spherical Sector)-Spherical Cap Radius of Spherical Sector)/2. 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 Spherical Cap Height of Spherical Sector given Total Surface Area?

Spherical Cap Height of Spherical Sector given Total Surface Area is defined as the vertical distance from top most point to the bottom level of the cap surface of the Spherical Sector, calculated using its total surface area is calculated using Spherical Cap Height of Spherical Sector = (Total Surface Area of Spherical Sector/(pi*Spherical Radius of Spherical Sector)-Spherical Cap Radius of Spherical Sector)/2. To calculate Spherical Cap Height 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 Spherical Cap Height of Spherical Sector?

In this formula, Spherical Cap Height of Spherical Sector uses Total Surface Area of Spherical Sector, Spherical Radius of Spherical Sector & Spherical Cap Radius of Spherical Sector. We can use 2 other way(s) to calculate the same, which is/are as follows -

Spherical Cap Height of Spherical Sector = (3*Volume of Spherical Sector)/(2*pi*Spherical Radius of Spherical Sector^2)
Spherical Cap Height of Spherical Sector = Spherical Cap Radius of Spherical Sector/((2/3*Spherical Radius of Spherical Sector*Surface to Volume Ratio of Spherical Sector)-2)

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