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Volume of Hollow Sphere given Surface to Volume Ratio Formula

GoVolume of Hollow Sphere given Surface Area and Outer Radius Formula

GoVolume of Hollow Sphere given Surface Area and Inner Radius Formula

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Volume of Hollow Sphere is the total quantity of three dimensional space enclosed by the entire surface of the Hollow Sphere. Check FAQs

V = \frac{4 \cdot π \cdot ({r Outer}^{2} + {r Inner}^{2})}{R A/V}

V - Volume of Hollow Sphere?r_Outer - Outer Radius of Hollow Sphere?r_Inner - Inner Radius of Hollow Sphere?R_A/V - Surface to Volume Ratio of Hollow Sphere?π - Archimedes' constant?

Volume of Hollow Sphere given Surface to Volume Ratio Example

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Here is how the Volume of Hollow Sphere given Surface to Volume Ratio equation looks like with Values.

Here is how the Volume of Hollow Sphere given Surface to Volume Ratio equation looks like with Units.

Here is how the Volume of Hollow Sphere given Surface to Volume Ratio equation looks like.

3418.0528 = \frac{4 \cdot 3.1416 \cdot (10^{2} + 6^{2})}{0.5}

3418.0528m³ = \frac{4 \cdot 3.1416 \cdot ({10m}^{2} + {6m}^{2})}{0.5m⁻¹}

3418.0528 = \frac{4 \cdot 3.1416 \cdot (10^{2} + 6^{2})}{0.5}

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Volume of Hollow Sphere given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Volume of Hollow Sphere given Surface to Volume Ratio?

FIRST Step Consider the formula

V = \frac{4 \cdot π \cdot ({r Outer}^{2} + {r Inner}^{2})}{R A/V}

Next Step Substitute values of Variables

∴

V = \frac{4 \cdot π \cdot ({10m}^{2} + {6m}^{2})}{0.5m⁻¹}

Next Step Substitute values of Constants

∴

V = \frac{4 \cdot 3.1416 \cdot ({10m}^{2} + {6m}^{2})}{0.5m⁻¹}

Next Step Prepare to Evaluate

∴

V = \frac{4 \cdot 3.1416 \cdot (10^{2} + 6^{2})}{0.5}

Next Step Evaluate

∴

V = 3418.0528071057m³

LAST Step Rounding Answer

∴

V = 3418.0528m³

Volume of Hollow Sphere given Surface to Volume Ratio Formula Elements

Variables

Constants

Volume of Hollow Sphere

Volume of Hollow Sphere is the total quantity of three dimensional space enclosed by the entire surface of the Hollow Sphere.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Hollow Sphere

Outer Radius 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.

Symbol: r_Outer

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outer Radius of Hollow Sphere

Inner Radius of 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.

Symbol: r_Inner

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Radius of Hollow Sphere

Surface to Volume Ratio of 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.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Hollow Sphere

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Volume of Hollow Sphere

Go Volume of Hollow Sphere given Surface Area and Outer Radius

V = \frac{4}{3} \cdot π \cdot ({r Outer}^{3} - {(\frac{SA}{4 \cdot π} - {r Outer}^{2})}^{\frac{3}{2}})

Go Volume of Hollow Sphere given Surface Area and Inner Radius

V = \frac{4}{3} \cdot π \cdot ({(\frac{SA}{4 \cdot π} - {r Inner}^{2})}^{\frac{3}{2}} - {r Inner}^{3})

Go Volume of Hollow Sphere given Thickness and Inner Radius

V = \frac{4}{3} \cdot π \cdot ({(r Inner + t)}^{3} - {r Inner}^{3})

Go Volume of Hollow Sphere given Thickness and Outer Radius

V = \frac{4}{3} \cdot π \cdot ({r Outer}^{3} - {(r Outer - t)}^{3})

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

Volume of Hollow Sphere given Surface to Volume Ratio evaluator 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 evaluate 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 evaluate Volume of Hollow Sphere given Surface to Volume Ratio using this online evaluator? To use this online evaluator 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.

FAQs on Volume of Hollow Sphere given Surface to Volume Ratio

What is the formula to find Volume of Hollow Sphere given Surface to Volume Ratio?

The formula of Volume of Hollow Sphere given Surface to Volume Ratio is expressed as 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. Here is an example- 3418.053 = (4*pi*(10^2+6^2))/0.5.

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

With Outer Radius of Hollow Sphere (r_Outer), Inner Radius of Hollow Sphere (r_Inner) & Surface to Volume Ratio of Hollow Sphere (R_A/V) we can find Volume of Hollow Sphere given Surface to Volume Ratio using the formula - 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. This formula also uses Archimedes' constant .

What are the other ways to Calculate Volume of Hollow Sphere?

Here are the different ways to Calculate Volume of Hollow Sphere-

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)

Can the Volume of Hollow Sphere given Surface to Volume Ratio be negative?

No, the Volume of Hollow Sphere given Surface to Volume Ratio, measured in Volume cannot be negative.

Which unit is used to measure Volume of Hollow Sphere given Surface to Volume Ratio?

Volume of Hollow Sphere given Surface to Volume Ratio is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Hollow Sphere given Surface to Volume Ratio can be measured.

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Volume of Hollow Sphere given Surface to Volume Ratio Formula

​GoVolume of Hollow Sphere given Surface Area and Outer Radius Formula

​GoVolume of Hollow Sphere given Surface Area and Inner Radius Formula

Volume of Hollow Sphere given Surface to Volume Ratio Example

Volume of Hollow Sphere given Surface to Volume Ratio Solution

Volume of Hollow Sphere given Surface to Volume Ratio Formula Elements

Other Formulas to find Volume of Hollow Sphere

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

FAQs on Volume of Hollow Sphere given Surface to Volume Ratio

Variable Name

GoVolume of Hollow Sphere given Surface Area and Outer Radius Formula

GoVolume of Hollow Sphere given Surface Area and Inner Radius Formula