Surface to Volume Ratio of Hollow Sphere given Volume and Outer Radius 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%

✖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 given Volume and Outer Radius [R_A/V]

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Surface to Volume Ratio of Hollow Sphere given Volume and Outer Radius

Formula

`"R"_{"A/V"} = 3*(("r"_{"Outer"}^2+("r"_{"Outer"}^3-(3*"V")/(4*pi))^(2/3))/((3*"V")/(4*pi)))`

Example

`"0.516267m⁻¹"=3*((("10m")^2+(("10m")^3-(3*"3300m³")/(4*pi))^(2/3))/((3*"3300m³")/(4*pi)))`

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Surface to Volume Ratio of Hollow Sphere given Volume and Outer Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Hollow Sphere = 3*((Outer Radius of Hollow Sphere^2+(Outer Radius of Hollow Sphere^3-(3*Volume of Hollow Sphere)/(4*pi))^(2/3))/((3*Volume of Hollow Sphere)/(4*pi)))
R_A/V = 3*((r_Outer^2+(r_Outer^3-(3*V)/(4*pi))^(2/3))/((3*V)/(4*pi)))
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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_A/V = 3*((r_Outer^2+(r_Outer^3-(3*V)/(4*pi))^(2/3))/((3*V)/(4*pi))) --> 3*((10^2+(10^3-(3*3300)/(4*pi))^(2/3))/((3*3300)/(4*pi)))

Evaluating ... ...

R_A/V = 0.516266996806799

STEP 3: Convert Result to Output's Unit

0.516266996806799 1 per Meter --> No Conversion Required

FINAL ANSWER

0.516266996806799 ≈ 0.516267 1 per Meter <-- Surface to Volume Ratio of Hollow Sphere

(Calculation completed in 00.004 seconds)

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< 7 Surface to Volume Ratio of Hollow Sphere Calculators

Surface to Volume Ratio of Hollow Sphere given Thickness and Inner Radius

Go Surface to Volume Ratio of Hollow Sphere = 3*(((Thickness of Hollow Sphere+Inner Radius of Hollow Sphere)^2+Inner Radius of Hollow Sphere^2)/((Thickness of Hollow Sphere+Inner Radius of Hollow Sphere)^3-Inner Radius of Hollow Sphere^3))

Surface to Volume Ratio of Hollow Sphere given Thickness and Outer Radius

Go Surface to Volume Ratio of Hollow Sphere = 3*((Outer Radius of Hollow Sphere^2+(Outer Radius of Hollow Sphere-Thickness of Hollow Sphere)^2)/(Outer Radius of Hollow Sphere^3-(Outer Radius of Hollow Sphere-Thickness of Hollow Sphere)^3))

Surface to Volume Ratio of Hollow Sphere given Surface Area and Outer Radius

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

Surface to Volume Ratio of Hollow Sphere given Surface Area and Inner Radius

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

Surface to Volume Ratio of Hollow Sphere given Volume and Outer Radius

Go Surface to Volume Ratio of Hollow Sphere = 3*((Outer Radius of Hollow Sphere^2+(Outer Radius of Hollow Sphere^3-(3*Volume of Hollow Sphere)/(4*pi))^(2/3))/((3*Volume of Hollow Sphere)/(4*pi)))

Surface to Volume Ratio of Hollow Sphere given Volume and Inner Radius

Go Surface to Volume Ratio of Hollow Sphere = 3*((((3*Volume of Hollow Sphere)/(4*pi)+Inner Radius of Hollow Sphere^3)^(2/3)+Inner Radius of Hollow Sphere^2)/((3*Volume of Hollow Sphere)/(4*pi)))

Surface to Volume Ratio of Hollow Sphere

Go Surface to Volume Ratio of Hollow Sphere = 3*((Outer Radius of Hollow Sphere^2+Inner Radius of Hollow Sphere^2)/(Outer Radius of Hollow Sphere^3-Inner Radius of Hollow Sphere^3))

Surface to Volume Ratio of Hollow Sphere given Volume and Outer Radius Formula

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 Surface to Volume Ratio of Hollow Sphere given Volume and Outer Radius?

Surface to Volume Ratio of Hollow Sphere given Volume and Outer Radius calculator uses Surface to Volume Ratio of Hollow Sphere = 3*((Outer Radius of Hollow Sphere^2+(Outer Radius of Hollow Sphere^3-(3*Volume of Hollow Sphere)/(4*pi))^(2/3))/((3*Volume of Hollow Sphere)/(4*pi))) to calculate the Surface to Volume Ratio of Hollow Sphere, The Surface to Volume Ratio of Hollow Sphere given Volume and Outer Radius formula is defined as the numerical ratio of the total surface area of the Hollow Sphere to the volume of the Hollow Sphere, calculated using the volume and outer radius of the Hollow Sphere. Surface to Volume Ratio of Hollow Sphere is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Hollow Sphere given Volume and Outer Radius using this online calculator? To use this online calculator for Surface to Volume Ratio of Hollow Sphere given Volume and Outer Radius, enter Outer Radius of Hollow Sphere (r_Outer) & Volume of Hollow Sphere (V) and hit the calculate button. Here is how the Surface to Volume Ratio of Hollow Sphere given Volume and Outer Radius calculation can be explained with given input values -> 0.516267 = 3*((10^2+(10^3-(3*3300)/(4*pi))^(2/3))/((3*3300)/(4*pi))).

FAQ

What is Surface to Volume Ratio of Hollow Sphere given Volume and Outer Radius?

The Surface to Volume Ratio of Hollow Sphere given Volume and Outer Radius formula is defined as the numerical ratio of the total surface area of the Hollow Sphere to the volume of the Hollow Sphere, calculated using the volume and outer radius of the Hollow Sphere and is represented as R_A/V = 3*((r_Outer^2+(r_Outer^3-(3*V)/(4*pi))^(2/3))/((3*V)/(4*pi))) or Surface to Volume Ratio of Hollow Sphere = 3*((Outer Radius of Hollow Sphere^2+(Outer Radius of Hollow Sphere^3-(3*Volume of Hollow Sphere)/(4*pi))^(2/3))/((3*Volume of Hollow Sphere)/(4*pi))). 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 Surface to Volume Ratio of Hollow Sphere given Volume and Outer Radius?

The Surface to Volume Ratio of Hollow Sphere given Volume and Outer Radius formula is defined as the numerical ratio of the total surface area of the Hollow Sphere to the volume of the Hollow Sphere, calculated using the volume and outer radius of the Hollow Sphere is calculated using Surface to Volume Ratio of Hollow Sphere = 3*((Outer Radius of Hollow Sphere^2+(Outer Radius of Hollow Sphere^3-(3*Volume of Hollow Sphere)/(4*pi))^(2/3))/((3*Volume of Hollow Sphere)/(4*pi))). To calculate Surface to Volume Ratio of Hollow Sphere given Volume and Outer Radius, 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 Surface to Volume Ratio of Hollow Sphere?

In this formula, Surface to Volume Ratio of Hollow Sphere uses Outer Radius of Hollow Sphere & Volume of Hollow Sphere. We can use 6 other way(s) to calculate the same, which is/are as follows -

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

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