Volume of Hollow Sphere given Surface to Volume Ratio 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%
✖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 [r_Inner]			+10% -10%
✖Surface to Volume Ratio of Hollow Sphere is the numerical ratio of the total surface area of the Hollow Sphere to the volume of the Hollow Sphere.ⓘ Surface to Volume Ratio of Hollow Sphere [R_A/V]			+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 given Surface to Volume Ratio [V]

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Volume of Hollow Sphere given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Hollow Sphere = (4*pi*(Outer Radius of Hollow Sphere^2+Inner Radius of Hollow Sphere^2))/Surface to Volume Ratio of Hollow Sphere
V = (4*pi*(r_Outer^2+r_Inner^2))/R_A/V
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.
Surface to Volume Ratio of Hollow Sphere - (Measured in 1 per Meter) - Surface to Volume Ratio of Hollow Sphere is the numerical ratio of the total surface area of the Hollow Sphere to the volume of the Hollow Sphere.

STEP 1: Convert Input(s) to Base Unit

Outer Radius of Hollow Sphere: 10 Meter --> 10 Meter No Conversion Required
Inner Radius of Hollow Sphere: 6 Meter --> 6 Meter No Conversion Required
Surface to Volume Ratio of Hollow Sphere: 0.5 1 per Meter --> 0.5 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (4*pi*(r_Outer^2+r_Inner^2))/R_A/V --> (4*pi*(10^2+6^2))/0.5

Evaluating ... ...

V = 3418.0528071057

STEP 3: Convert Result to Output's Unit

3418.0528071057 Cubic Meter --> No Conversion Required

FINAL ANSWER

3418.0528071057 ≈ 3418.053 Cubic Meter <-- Volume of Hollow Sphere

(Calculation completed in 00.004 seconds)

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< Volume of Hollow Sphere Calculators

Volume of Hollow Sphere given Surface Area and Outer Radius

LaTeX Go Volume of Hollow Sphere = 4/3*pi*(Outer Radius of Hollow Sphere^3-(Surface Area of Hollow Sphere/(4*pi)-Outer Radius of Hollow Sphere^2)^(3/2))

Volume of Hollow Sphere given Surface Area and Inner Radius

LaTeX Go Volume of Hollow Sphere = 4/3*pi*((Surface Area of Hollow Sphere/(4*pi)-Inner Radius of Hollow Sphere^2)^(3/2)-Inner Radius of Hollow Sphere^3)

Volume of Hollow Sphere given Thickness and Inner Radius

LaTeX Go Volume of Hollow Sphere = 4/3*pi*((Inner Radius of Hollow Sphere+Thickness of Hollow Sphere)^3-Inner Radius of Hollow Sphere^3)

Volume of Hollow Sphere given Thickness and Outer Radius

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

Volume of Hollow Sphere given Surface to Volume Ratio Formula

LaTeX Go

Volume of Hollow Sphere = (4*pi*(Outer Radius of Hollow Sphere^2+Inner Radius of Hollow Sphere^2))/Surface to Volume Ratio of Hollow Sphere
V = (4*pi*(r_Outer^2+r_Inner^2))/R_A/V

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 Volume of Hollow Sphere given Surface to Volume Ratio?

Volume of Hollow Sphere given Surface to Volume Ratio calculator uses Volume of Hollow Sphere = (4*pi*(Outer Radius of Hollow Sphere^2+Inner Radius of Hollow Sphere^2))/Surface to Volume Ratio of Hollow Sphere to calculate the Volume of Hollow Sphere, The Volume of Hollow Sphere given Surface to Volume Ratio formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Hollow Sphere, calculated using the surface to volume ratio of Hollow Sphere. Volume of Hollow Sphere is denoted by V symbol.

How to calculate Volume of Hollow Sphere given Surface to Volume Ratio using this online calculator? To use this online calculator for Volume of Hollow Sphere given Surface to Volume Ratio, enter Outer Radius of Hollow Sphere (r_Outer), Inner Radius of Hollow Sphere (r_Inner) & Surface to Volume Ratio of Hollow Sphere (R_A/V) and hit the calculate button. Here is how the Volume of Hollow Sphere given Surface to Volume Ratio calculation can be explained with given input values -> 3418.053 = (4*pi*(10^2+6^2))/0.5.

FAQ

What is Volume of Hollow Sphere given Surface to Volume Ratio?

The Volume of Hollow Sphere given Surface to Volume Ratio formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Hollow Sphere, calculated using the surface to volume ratio of Hollow Sphere and is represented as V = (4*pi*(r_Outer^2+r_Inner^2))/R_A/V or Volume of Hollow Sphere = (4*pi*(Outer Radius of Hollow Sphere^2+Inner Radius of Hollow Sphere^2))/Surface to Volume Ratio of Hollow Sphere. Outer Radius of Hollow Sphere is the distance between center and any point on the circumference of larger sphere of the Hollow Sphere, Inner Radius of Hollow Sphere is the distance between center and any point on the circumference of smaller sphere of the Hollow Sphere & Surface to Volume Ratio of Hollow Sphere is the numerical ratio of the total surface area of the Hollow Sphere to the volume of the Hollow Sphere.

How to calculate Volume of Hollow Sphere given Surface to Volume Ratio?

The Volume of Hollow Sphere given Surface to Volume Ratio formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Hollow Sphere, calculated using the surface to volume ratio of Hollow Sphere is calculated using Volume of Hollow Sphere = (4*pi*(Outer Radius of Hollow Sphere^2+Inner Radius of Hollow Sphere^2))/Surface to Volume Ratio of Hollow Sphere. To calculate Volume of Hollow Sphere given Surface to Volume Ratio, you need Outer Radius of Hollow Sphere (r_Outer), Inner Radius of Hollow Sphere (r_Inner) & Surface to Volume Ratio of Hollow Sphere (R_A/V). With our tool, you need to enter the respective value for Outer Radius of Hollow Sphere, Inner Radius of Hollow Sphere & Surface to Volume Ratio 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 Volume of Hollow Sphere?

In this formula, Volume of Hollow Sphere uses Outer Radius of Hollow Sphere, Inner Radius of Hollow Sphere & Surface to Volume Ratio of Hollow Sphere. We can use 3 other way(s) to calculate the same, which is/are as follows -

Volume of Hollow Sphere = 4/3*pi*(Outer Radius of Hollow Sphere^3-(Surface Area of Hollow Sphere/(4*pi)-Outer Radius of Hollow Sphere^2)^(3/2))
Volume of Hollow Sphere = 4/3*pi*((Surface Area of Hollow Sphere/(4*pi)-Inner Radius of Hollow Sphere^2)^(3/2)-Inner Radius of Hollow Sphere^3)
Volume of Hollow Sphere = 4/3*pi*((Inner Radius of Hollow Sphere+Thickness of Hollow Sphere)^3-Inner Radius of Hollow Sphere^3)

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