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Surface to volume Ratio of Hollow Hemisphere given Total Surface Area and Inner 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 (\frac{1}{3} \cdot (\frac{TSA}{π} - {r Inner}^{2})) + {r Inner}^{2}}{\frac{2}{3} \cdot ({(\frac{1}{3} \cdot (\frac{TSA}{π} - {r Inner}^{2}))}^{\frac{3}{2}} - {r Inner}^{3})}

R_A/V - Surface to Volume Ratio of Hollow Hemisphere?TSA - Total Surface Area of Hollow Hemisphere?r_Inner - Inner Radius of Hollow Hemisphere?π - Archimedes' constant?

Surface to volume Ratio of Hollow Hemisphere given Total Surface Area and Inner Radius Example

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Here is how the Surface to volume Ratio of Hollow Hemisphere given Total Surface Area and Inner Radius equation looks like with Values.

Here is how the Surface to volume Ratio of Hollow Hemisphere given Total Surface Area and Inner Radius equation looks like with Units.

Here is how the Surface to volume Ratio of Hollow Hemisphere given Total Surface Area and Inner Radius equation looks like.

1.0991 = \frac{3 \cdot (\frac{1}{3} \cdot (\frac{1670}{3.1416} - 10^{2})) + 10^{2}}{\frac{2}{3} \cdot ({(\frac{1}{3} \cdot (\frac{1670}{3.1416} - 10^{2}))}^{\frac{3}{2}} - 10^{3})}

1.0991m⁻¹ = \frac{3 \cdot (\frac{1}{3} \cdot (\frac{1670m²}{3.1416} - {10m}^{2})) + {10m}^{2}}{\frac{2}{3} \cdot ({(\frac{1}{3} \cdot (\frac{1670m²}{3.1416} - {10m}^{2}))}^{\frac{3}{2}} - {10m}^{3})}

1.0991 = \frac{3 \cdot (\frac{1}{3} \cdot (\frac{1670}{3.1416} - 10^{2})) + 10^{2}}{\frac{2}{3} \cdot ({(\frac{1}{3} \cdot (\frac{1670}{3.1416} - 10^{2}))}^{\frac{3}{2}} - 10^{3})}

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Surface to volume Ratio of Hollow Hemisphere given Total Surface Area and Inner Radius Solution

Follow our step by step solution on how to calculate Surface to volume Ratio of Hollow Hemisphere given Total Surface Area and Inner Radius?

FIRST Step Consider the formula

R A/V = \frac{3 \cdot (\frac{1}{3} \cdot (\frac{TSA}{π} - {r Inner}^{2})) + {r Inner}^{2}}{\frac{2}{3} \cdot ({(\frac{1}{3} \cdot (\frac{TSA}{π} - {r Inner}^{2}))}^{\frac{3}{2}} - {r Inner}^{3})}

Next Step Substitute values of Variables

∴

R A/V = \frac{3 \cdot (\frac{1}{3} \cdot (\frac{1670m²}{π} - {10m}^{2})) + {10m}^{2}}{\frac{2}{3} \cdot ({(\frac{1}{3} \cdot (\frac{1670m²}{π} - {10m}^{2}))}^{\frac{3}{2}} - {10m}^{3})}

Next Step Substitute values of Constants

∴

R A/V = \frac{3 \cdot (\frac{1}{3} \cdot (\frac{1670m²}{3.1416} - {10m}^{2})) + {10m}^{2}}{\frac{2}{3} \cdot ({(\frac{1}{3} \cdot (\frac{1670m²}{3.1416} - {10m}^{2}))}^{\frac{3}{2}} - {10m}^{3})}

Next Step Prepare to Evaluate

∴

R A/V = \frac{3 \cdot (\frac{1}{3} \cdot (\frac{1670}{3.1416} - 10^{2})) + 10^{2}}{\frac{2}{3} \cdot ({(\frac{1}{3} \cdot (\frac{1670}{3.1416} - 10^{2}))}^{\frac{3}{2}} - 10^{3})}

Next Step Evaluate

∴

R A/V = 1.09910956159681m⁻¹

LAST Step Rounding Answer

∴

R A/V = 1.0991m⁻¹

Surface to volume Ratio of Hollow Hemisphere given Total Surface Area and Inner 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

Total Surface Area of Hollow Hemisphere

Total Surface Area of Hollow Hemisphere is the measure of the total amount of space occupied by all the faces of the Hollow Hemisphere.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Hollow Hemisphere

Inner Radius of Hollow Hemisphere

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

Symbol: r_Inner

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Radius 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 Total Surface Area and Inner Radius?

Surface to volume Ratio of Hollow Hemisphere given Total Surface Area and Inner Radius evaluator uses Surface to Volume Ratio of Hollow Hemisphere = (3*(1/3*(Total Surface Area of Hollow Hemisphere/pi-Inner Radius of Hollow Hemisphere^2))+Inner Radius of Hollow Hemisphere^2)/(2/3*((1/3*(Total Surface Area of Hollow Hemisphere/pi-Inner Radius of Hollow Hemisphere^2))^(3/2)-Inner Radius of Hollow Hemisphere^3)) to evaluate the Surface to Volume Ratio of Hollow Hemisphere, The Surface to volume Ratio of Hollow Hemisphere given Total Surface Area and Inner 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 total surface area and inner 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 Total Surface Area and Inner Radius using this online evaluator? To use this online evaluator for Surface to volume Ratio of Hollow Hemisphere given Total Surface Area and Inner Radius, enter Total Surface Area of Hollow Hemisphere (TSA) & Inner Radius of Hollow Hemisphere (r_Inner) and hit the calculate button.

FAQs on Surface to volume Ratio of Hollow Hemisphere given Total Surface Area and Inner Radius

What is the formula to find Surface to volume Ratio of Hollow Hemisphere given Total Surface Area and Inner Radius?

The formula of Surface to volume Ratio of Hollow Hemisphere given Total Surface Area and Inner Radius is expressed as Surface to Volume Ratio of Hollow Hemisphere = (3*(1/3*(Total Surface Area of Hollow Hemisphere/pi-Inner Radius of Hollow Hemisphere^2))+Inner Radius of Hollow Hemisphere^2)/(2/3*((1/3*(Total Surface Area of Hollow Hemisphere/pi-Inner Radius of Hollow Hemisphere^2))^(3/2)-Inner Radius of Hollow Hemisphere^3)). Here is an example- 1.09911 = (3*(1/3*(1670/pi-10^2))+10^2)/(2/3*((1/3*(1670/pi-10^2))^(3/2)-10^3)).

How to calculate Surface to volume Ratio of Hollow Hemisphere given Total Surface Area and Inner Radius?

With Total Surface Area of Hollow Hemisphere (TSA) & Inner Radius of Hollow Hemisphere (r_Inner) we can find Surface to volume Ratio of Hollow Hemisphere given Total Surface Area and Inner Radius using the formula - Surface to Volume Ratio of Hollow Hemisphere = (3*(1/3*(Total Surface Area of Hollow Hemisphere/pi-Inner Radius of Hollow Hemisphere^2))+Inner Radius of Hollow Hemisphere^2)/(2/3*((1/3*(Total Surface Area of Hollow Hemisphere/pi-Inner Radius of Hollow Hemisphere^2))^(3/2)-Inner Radius of Hollow Hemisphere^3)). 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 Total Surface Area and Inner Radius be negative?

No, the Surface to volume Ratio of Hollow Hemisphere given Total Surface Area and Inner Radius, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Surface to volume Ratio of Hollow Hemisphere given Total Surface Area and Inner Radius?

Surface to volume Ratio of Hollow Hemisphere given Total Surface Area and Inner 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 Total Surface Area and Inner Radius can be measured.

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Surface to volume Ratio of Hollow Hemisphere given Total Surface Area and Inner 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 Total Surface Area and Inner Radius Example

Surface to volume Ratio of Hollow Hemisphere given Total Surface Area and Inner Radius Solution

Surface to volume Ratio of Hollow Hemisphere given Total Surface Area and Inner 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 Total Surface Area and Inner Radius?

FAQs on Surface to volume Ratio of Hollow Hemisphere given Total Surface Area and Inner 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