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

GoSurface to Volume Ratio of Hollow Hemisphere Formula

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

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Surface to Volume Ratio of Hollow Hemisphere is the fraction of the surface area to the volume of the Hollow Hemisphere. Check FAQs

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

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

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

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

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

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

1.0959 = \frac{3 \cdot 12^{2} + {(12^{3} - (\frac{3 \cdot 1525}{2 \cdot 3.1416}))}^{\frac{2}{3}}}{\frac{1525}{3.1416}}

1.0959m⁻¹ = \frac{3 \cdot {12m}^{2} + {({12m}^{3} - (\frac{3 \cdot 1525m³}{2 \cdot 3.1416}))}^{\frac{2}{3}}}{\frac{1525m³}{3.1416}}

1.0959 = \frac{3 \cdot 12^{2} + {(12^{3} - (\frac{3 \cdot 1525}{2 \cdot 3.1416}))}^{\frac{2}{3}}}{\frac{1525}{3.1416}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R A/V = \frac{3 \cdot {12m}^{2} + {({12m}^{3} - (\frac{3 \cdot 1525m³}{2 \cdot π}))}^{\frac{2}{3}}}{\frac{1525m³}{π}}

Next Step Substitute values of Constants

∴

R A/V = \frac{3 \cdot {12m}^{2} + {({12m}^{3} - (\frac{3 \cdot 1525m³}{2 \cdot 3.1416}))}^{\frac{2}{3}}}{\frac{1525m³}{3.1416}}

Next Step Prepare to Evaluate

∴

R A/V = \frac{3 \cdot 12^{2} + {(12^{3} - (\frac{3 \cdot 1525}{2 \cdot 3.1416}))}^{\frac{2}{3}}}{\frac{1525}{3.1416}}

Next Step Evaluate

∴

R A/V = 1.09593393740226m⁻¹

LAST Step Rounding Answer

∴

R A/V = 1.0959m⁻¹

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

Variables

Constants

Surface to Volume Ratio of Hollow Hemisphere

Surface to Volume Ratio of Hollow Hemisphere is the fraction of the surface area to the volume of the Hollow Hemisphere.

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 Hemisphere

Outer Radius of Hollow Hemisphere

Outer Radius of Hollow Hemisphere is a line segment from the center to a point on the curved surface of the outer circular base of the Hollow Hemisphere.

Symbol: r_Outer

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outer Radius of Hollow Hemisphere

Volume of Hollow Hemisphere

Volume of Hollow Hemisphere is the measure of three-dimensional space enclosed by all the faces of the Hollow Hemisphere.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Hollow Hemisphere

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 Hemisphere

Go Surface to Volume Ratio of Hollow Hemisphere

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

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

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

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

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

Go Surface to Volume Ratio of Hollow Hemisphere given Volume and Inner Radius

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

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

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

How to evaluate Surface to Volume Ratio of Hollow Hemisphere given Volume and Outer Radius using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Hollow Hemisphere given Volume and Outer Radius, enter Outer Radius of Hollow Hemisphere (r_Outer) & Volume of Hollow Hemisphere (V) and hit the calculate button.

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

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

The formula of Surface to Volume Ratio of Hollow Hemisphere given Volume and Outer Radius is expressed as Surface to Volume Ratio of Hollow Hemisphere = (3*Outer Radius of Hollow Hemisphere^2+(Outer Radius of Hollow Hemisphere^3-((3*Volume of Hollow Hemisphere)/(2*pi)))^(2/3))/(Volume of Hollow Hemisphere/pi). Here is an example- 1.095934 = (3*12^2+(12^3-((3*1525)/(2*pi)))^(2/3))/(1525/pi).

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

With Outer Radius of Hollow Hemisphere (r_Outer) & Volume of Hollow Hemisphere (V) we can find Surface to Volume Ratio of Hollow Hemisphere given Volume and Outer Radius using the formula - Surface to Volume Ratio of Hollow Hemisphere = (3*Outer Radius of Hollow Hemisphere^2+(Outer Radius of Hollow Hemisphere^3-((3*Volume of Hollow Hemisphere)/(2*pi)))^(2/3))/(Volume of Hollow Hemisphere/pi). This formula also uses Archimedes' constant .

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

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

Surface to Volume Ratio of Hollow Hemisphere=(3*Outer Radius of Hollow Hemisphere^2+Inner Radius of Hollow Hemisphere^2)/(2/3*(Outer Radius of Hollow Hemisphere^3-Inner Radius of Hollow Hemisphere^3))
Surface to Volume Ratio of Hollow Hemisphere=(3*Outer Radius of Hollow Hemisphere^2+(Outer Radius of Hollow Hemisphere-Shell Thickness of Hollow Hemisphere)^2)/(2/3*(Outer Radius of Hollow Hemisphere^3-(Outer Radius of Hollow Hemisphere-Shell Thickness of Hollow Hemisphere)^3))
Surface to Volume Ratio of Hollow Hemisphere=(3*(Shell Thickness of Hollow Hemisphere+Inner Radius of Hollow Hemisphere)^2+Inner Radius of Hollow Hemisphere^2)/(2/3*((Shell Thickness of Hollow Hemisphere+Inner Radius of Hollow Hemisphere)^3-Inner Radius of Hollow Hemisphere^3))

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

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

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

Surface to Volume Ratio of Hollow Hemisphere 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 Hemisphere given Volume and Outer Radius can be measured.

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

​GoSurface to Volume Ratio of Hollow Hemisphere Formula

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

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

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

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

Other Formulas to find Surface to Volume Ratio of Hollow Hemisphere

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

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

Variable Name

GoSurface to Volume Ratio of Hollow Hemisphere Formula

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