Inner Radius of Hollow Sphere given Volume Calculator

✖Outer Radius of Hollow Sphere is the distance between center and any point on the circumference of larger sphere of the Hollow Sphere.ⓘ Outer Radius of Hollow Sphere [r_Outer]			+10% -10%
✖Volume of Hollow Sphere is the total quantity of three dimensional space enclosed by the entire surface of the Hollow Sphere.ⓘ Volume of Hollow Sphere [V]			+10% -10%

✖Inner Radius of Hollow Sphere is the distance between center and any point on the circumference of smaller sphere of the Hollow Sphere.ⓘ Inner Radius of Hollow Sphere given Volume [r_Inner]

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Formula

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Inner Radius of Hollow Sphere given Volume

Formula

`"r"_{"Inner"} = ("r"_{"Outer"}^3-(3*"V")/(4*pi))^(1/3)`

Example

`"5.964447m"=(("10m")^3-(3*"3300m³")/(4*pi))^(1/3)`

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Inner Radius of Hollow Sphere given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inner Radius of Hollow Sphere = (Outer Radius of Hollow Sphere^3-(3*Volume of Hollow Sphere)/(4*pi))^(1/3)
r_Inner = (r_Outer^3-(3*V)/(4*pi))^(1/3)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Inner Radius of Hollow Sphere - (Measured in Meter) - Inner Radius of Hollow Sphere is the distance between center and any point on the circumference of smaller sphere of the Hollow Sphere.
Outer Radius of Hollow Sphere - (Measured in Meter) - Outer Radius of Hollow Sphere is the distance between center and any point on the circumference of larger sphere of the Hollow Sphere.
Volume of Hollow Sphere - (Measured in Cubic Meter) - Volume of Hollow Sphere is the total quantity of three dimensional space enclosed by the entire surface of the Hollow Sphere.

STEP 1: Convert Input(s) to Base Unit

Outer Radius of Hollow Sphere: 10 Meter --> 10 Meter No Conversion Required
Volume of Hollow Sphere: 3300 Cubic Meter --> 3300 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_Inner = (r_Outer^3-(3*V)/(4*pi))^(1/3) --> (10^3-(3*3300)/(4*pi))^(1/3)

Evaluating ... ...

r_Inner = 5.96444745303923

STEP 3: Convert Result to Output's Unit

5.96444745303923 Meter --> No Conversion Required

FINAL ANSWER

5.96444745303923 ≈ 5.964447 Meter <-- Inner Radius of Hollow Sphere

(Calculation completed in 00.004 seconds)

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< 3 Inner Radius of Hollow Sphere Calculators

Inner Radius of Hollow Sphere given Surface Area

Go Inner Radius of Hollow Sphere = sqrt(Surface Area of Hollow Sphere/(4*pi)-Outer Radius of Hollow Sphere^2)

Inner Radius of Hollow Sphere given Volume

Go Inner Radius of Hollow Sphere = (Outer Radius of Hollow Sphere^3-(3*Volume of Hollow Sphere)/(4*pi))^(1/3)

Inner Radius of Hollow Sphere given Thickness

Go Inner Radius of Hollow Sphere = Outer Radius of Hollow Sphere-Thickness of Hollow Sphere

< 6 Radius of Hollow Sphere Calculators

Inner Radius of Hollow Sphere given Surface Area

Go Inner Radius of Hollow Sphere = sqrt(Surface Area of Hollow Sphere/(4*pi)-Outer Radius of Hollow Sphere^2)

Outer Radius of Hollow Sphere given Surface Area

Go Outer Radius of Hollow Sphere = sqrt(Surface Area of Hollow Sphere/(4*pi)-Inner Radius of Hollow Sphere^2)

Inner Radius of Hollow Sphere given Volume

Go Inner Radius of Hollow Sphere = (Outer Radius of Hollow Sphere^3-(3*Volume of Hollow Sphere)/(4*pi))^(1/3)

Outer Radius of Hollow Sphere given Volume

Go Outer Radius of Hollow Sphere = ((3*Volume of Hollow Sphere)/(4*pi)+Inner Radius of Hollow Sphere^3)^(1/3)

Inner Radius of Hollow Sphere given Thickness

Go Inner Radius of Hollow Sphere = Outer Radius of Hollow Sphere-Thickness of Hollow Sphere

Outer Radius of Hollow Sphere given Thickness

Go Outer Radius of Hollow Sphere = Inner Radius of Hollow Sphere+Thickness of Hollow Sphere

Inner Radius of Hollow Sphere given Volume Formula

Inner Radius of Hollow Sphere = (Outer Radius of Hollow Sphere^3-(3*Volume of Hollow Sphere)/(4*pi))^(1/3)
r_Inner = (r_Outer^3-(3*V)/(4*pi))^(1/3)

What is a Hollow Sphere?

A Hollow Sphere, also known as a spherical shell, is a three-dimensional geometric shape that resembles a sphere but with empty space inside. It is characterized by having a spherical outer surface and an inner void or cavity. The thickness of the shell is uniform throughout, resulting in a hollow interior.

How to Calculate Inner Radius of Hollow Sphere given Volume?

Inner Radius of Hollow Sphere given Volume calculator uses Inner Radius of Hollow Sphere = (Outer Radius of Hollow Sphere^3-(3*Volume of Hollow Sphere)/(4*pi))^(1/3) to calculate the Inner Radius of Hollow Sphere, The Inner Radius of Hollow Sphere given Volume formula is defined as the distance between center and any point on the circumference of smaller sphere of the Hollow Sphere, calculated using the volume of Hollow Sphere. Inner Radius of Hollow Sphere is denoted by r_Inner symbol.

How to calculate Inner Radius of Hollow Sphere given Volume using this online calculator? To use this online calculator for Inner Radius of Hollow Sphere given Volume, enter Outer Radius of Hollow Sphere (r_Outer) & Volume of Hollow Sphere (V) and hit the calculate button. Here is how the Inner Radius of Hollow Sphere given Volume calculation can be explained with given input values -> 5.964447 = (10^3-(3*3300)/(4*pi))^(1/3).

FAQ

What is Inner Radius of Hollow Sphere given Volume?

The Inner Radius of Hollow Sphere given Volume formula is defined as the distance between center and any point on the circumference of smaller sphere of the Hollow Sphere, calculated using the volume of Hollow Sphere and is represented as r_Inner = (r_Outer^3-(3*V)/(4*pi))^(1/3) or Inner Radius of Hollow Sphere = (Outer Radius of Hollow Sphere^3-(3*Volume of Hollow Sphere)/(4*pi))^(1/3). Outer Radius of Hollow Sphere is the distance between center and any point on the circumference of larger sphere of the Hollow Sphere & Volume of Hollow Sphere is the total quantity of three dimensional space enclosed by the entire surface of the Hollow Sphere.

How to calculate Inner Radius of Hollow Sphere given Volume?

The Inner Radius of Hollow Sphere given Volume formula is defined as the distance between center and any point on the circumference of smaller sphere of the Hollow Sphere, calculated using the volume of Hollow Sphere is calculated using Inner Radius of Hollow Sphere = (Outer Radius of Hollow Sphere^3-(3*Volume of Hollow Sphere)/(4*pi))^(1/3). To calculate Inner Radius of Hollow Sphere given Volume, you need Outer Radius of Hollow Sphere (r_Outer) & Volume of Hollow Sphere (V). With our tool, you need to enter the respective value for Outer Radius of Hollow Sphere & Volume of Hollow Sphere 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 Inner Radius of Hollow Sphere?

In this formula, Inner Radius of Hollow Sphere uses Outer Radius of Hollow Sphere & Volume of Hollow Sphere. We can use 4 other way(s) to calculate the same, which is/are as follows -

Inner Radius of Hollow Sphere = Outer Radius of Hollow Sphere-Thickness of Hollow Sphere
Inner Radius of Hollow Sphere = sqrt(Surface Area of Hollow Sphere/(4*pi)-Outer Radius of Hollow Sphere^2)
Inner Radius of Hollow Sphere = sqrt(Surface Area of Hollow Sphere/(4*pi)-Outer Radius of Hollow Sphere^2)
Inner Radius of Hollow Sphere = Outer Radius of Hollow Sphere-Thickness of Hollow Sphere

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