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

GoSurface to Volume Ratio of Hollow Sphere given Thickness and Inner Radius Formula

GoSurface to Volume Ratio of Hollow Sphere given Thickness and Outer Radius Formula

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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. Check FAQs

R A/V = 3 \cdot (\frac{{r Outer}^{2} + {({r Outer}^{3} - \frac{3 \cdot V}{4 \cdot π})}^{\frac{2}{3}}}{\frac{3 \cdot V}{4 \cdot π}})

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

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

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

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

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

0.5163 = 3 \cdot (\frac{10^{2} + {(10^{3} - \frac{3 \cdot 3300}{4 \cdot 3.1416})}^{\frac{2}{3}}}{\frac{3 \cdot 3300}{4 \cdot 3.1416}})

0.5163m⁻¹ = 3 \cdot (\frac{{10m}^{2} + {({10m}^{3} - \frac{3 \cdot 3300m³}{4 \cdot 3.1416})}^{\frac{2}{3}}}{\frac{3 \cdot 3300m³}{4 \cdot 3.1416}})

0.5163 = 3 \cdot (\frac{10^{2} + {(10^{3} - \frac{3 \cdot 3300}{4 \cdot 3.1416})}^{\frac{2}{3}}}{\frac{3 \cdot 3300}{4 \cdot 3.1416}})

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

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

FIRST Step Consider the formula

R A/V = 3 \cdot (\frac{{r Outer}^{2} + {({r Outer}^{3} - \frac{3 \cdot V}{4 \cdot π})}^{\frac{2}{3}}}{\frac{3 \cdot V}{4 \cdot π}})

Next Step Substitute values of Variables

∴

R A/V = 3 \cdot (\frac{{10m}^{2} + {({10m}^{3} - \frac{3 \cdot 3300m³}{4 \cdot π})}^{\frac{2}{3}}}{\frac{3 \cdot 3300m³}{4 \cdot π}})

Next Step Substitute values of Constants

∴

R A/V = 3 \cdot (\frac{{10m}^{2} + {({10m}^{3} - \frac{3 \cdot 3300m³}{4 \cdot 3.1416})}^{\frac{2}{3}}}{\frac{3 \cdot 3300m³}{4 \cdot 3.1416}})

Next Step Prepare to Evaluate

∴

R A/V = 3 \cdot (\frac{10^{2} + {(10^{3} - \frac{3 \cdot 3300}{4 \cdot 3.1416})}^{\frac{2}{3}}}{\frac{3 \cdot 3300}{4 \cdot 3.1416}})

Next Step Evaluate

∴

R A/V = 0.516266996806799m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.5163m⁻¹

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

Variables

Constants

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

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

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

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 Surface to Volume Ratio of Hollow Sphere

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

R A/V = 3 \cdot (\frac{{(t + r Inner)}^{2} + {r Inner}^{2}}{{(t + r Inner)}^{3} - {r Inner}^{3}})

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

R A/V = 3 \cdot (\frac{{r Outer}^{2} + {(r Outer - t)}^{2}}{{r Outer}^{3} - {(r Outer - t)}^{3}})

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

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

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

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

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

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

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

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

The formula of Surface to Volume Ratio of Hollow Sphere given Volume and Outer Radius is expressed as 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))). Here is an example- 0.516267 = 3*((10^2+(10^3-(3*3300)/(4*pi))^(2/3))/((3*3300)/(4*pi))).

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

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

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

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

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)))

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

No, the Surface to Volume Ratio of Hollow Sphere given Volume and Outer Radius, measured in Reciprocal Length cannot be negative.

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

Surface to Volume Ratio of Hollow Sphere given Volume and Outer Radius is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Hollow Sphere given Volume and Outer Radius can be measured.

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

​GoSurface to Volume Ratio of Hollow Sphere given Thickness and Inner Radius Formula

​GoSurface to Volume Ratio of Hollow Sphere given Thickness and Outer Radius Formula

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

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

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

Other Formulas to find Surface to Volume Ratio of Hollow Sphere

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

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

Variable Name

GoSurface to Volume Ratio of Hollow Sphere given Thickness and Inner Radius Formula

GoSurface to Volume Ratio of Hollow Sphere given Thickness and Outer Radius Formula