Spherical Radius of Spherical Sector given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Spherical Radius of Spherical Sector = sqrt((3*Volume of Spherical Sector)/(2*pi*Spherical Cap Height of Spherical Sector))
rSphere = sqrt((3*V)/(2*pi*hCap))
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
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.
Volume of Spherical Sector - (Measured in Cubic Meter) - Volume of Spherical Sector is the amount of three dimensional space occupied by the Spherical Sector.
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.
STEP 1: Convert Input(s) to Base Unit
Volume of Spherical Sector: 840 Cubic Meter --> 840 Cubic Meter No Conversion Required
Spherical Cap Height of Spherical Sector: 4 Meter --> 4 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rSphere = sqrt((3*V)/(2*pi*hCap)) --> sqrt((3*840)/(2*pi*4))
Evaluating ... ...
rSphere = 10.0133717671868
STEP 3: Convert Result to Output's Unit
10.0133717671868 Meter --> No Conversion Required
FINAL ANSWER
10.0133717671868 10.01337 Meter <-- Spherical Radius of Spherical Sector
(Calculation completed in 00.004 seconds)

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4 Spherical Radius of Spherical Sector Calculators

Spherical Radius of Spherical Sector given Surface to Volume Ratio
Go Spherical Radius of Spherical Sector = ((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector)/(2*Surface to Volume Ratio of Spherical Sector*Spherical Cap Height of Spherical Sector/3)
Spherical Radius of Spherical Sector given Total Surface Area
Go Spherical Radius of Spherical Sector = Total Surface Area of Spherical Sector/(pi*((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector))
Spherical Radius of Spherical Sector
Go Spherical Radius of Spherical Sector = 1/2*((Spherical Cap Radius of Spherical Sector^2)/Spherical Cap Height of Spherical Sector+Spherical Cap Height of Spherical Sector)
Spherical Radius of Spherical Sector given Volume
Go Spherical Radius of Spherical Sector = sqrt((3*Volume of Spherical Sector)/(2*pi*Spherical Cap Height of Spherical Sector))

Spherical Radius of Spherical Sector given Volume Formula

Spherical Radius of Spherical Sector = sqrt((3*Volume of Spherical Sector)/(2*pi*Spherical Cap Height of Spherical Sector))
rSphere = sqrt((3*V)/(2*pi*hCap))

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 Radius of Spherical Sector given Volume?

Spherical Radius of Spherical Sector given Volume calculator uses Spherical Radius of Spherical Sector = sqrt((3*Volume of Spherical Sector)/(2*pi*Spherical Cap Height of Spherical Sector)) to calculate the Spherical Radius of Spherical Sector, Spherical Radius of Spherical Sector given Volume formula is defined as the distance from center to any point on the surface of the sphere from which the Spherical Sector is cut, calculated using its volume. Spherical Radius of Spherical Sector is denoted by rSphere symbol.

How to calculate Spherical Radius of Spherical Sector given Volume using this online calculator? To use this online calculator for Spherical Radius of Spherical Sector given Volume, enter Volume of Spherical Sector (V) & Spherical Cap Height of Spherical Sector (hCap) and hit the calculate button. Here is how the Spherical Radius of Spherical Sector given Volume calculation can be explained with given input values -> 10.01337 = sqrt((3*840)/(2*pi*4)).

FAQ

What is Spherical Radius of Spherical Sector given Volume?
Spherical Radius of Spherical Sector given Volume formula is defined as the distance from center to any point on the surface of the sphere from which the Spherical Sector is cut, calculated using its volume and is represented as rSphere = sqrt((3*V)/(2*pi*hCap)) or Spherical Radius of Spherical Sector = sqrt((3*Volume of Spherical Sector)/(2*pi*Spherical Cap Height of Spherical Sector)). Volume of Spherical Sector is the amount of three dimensional space occupied by the Spherical Sector & 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.
How to calculate Spherical Radius of Spherical Sector given Volume?
Spherical Radius of Spherical Sector given Volume formula is defined as the distance from center to any point on the surface of the sphere from which the Spherical Sector is cut, calculated using its volume is calculated using Spherical Radius of Spherical Sector = sqrt((3*Volume of Spherical Sector)/(2*pi*Spherical Cap Height of Spherical Sector)). To calculate Spherical Radius of Spherical Sector given Volume, you need Volume of Spherical Sector (V) & Spherical Cap Height of Spherical Sector (hCap). With our tool, you need to enter the respective value for Volume of Spherical Sector & Spherical Cap Height 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 Radius of Spherical Sector?
In this formula, Spherical Radius of Spherical Sector uses Volume of Spherical Sector & Spherical Cap Height of Spherical Sector. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Spherical Radius of Spherical Sector = 1/2*((Spherical Cap Radius of Spherical Sector^2)/Spherical Cap Height of Spherical Sector+Spherical Cap Height of Spherical Sector)
  • Spherical Radius of Spherical Sector = Total Surface Area of Spherical Sector/(pi*((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector))
  • Spherical Radius of Spherical Sector = ((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector)/(2*Surface to Volume Ratio of Spherical Sector*Spherical Cap Height of Spherical Sector/3)
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