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Volume of Hollow Hemisphere given Surface to Volume Ratio Formula

GoVolume of Hollow Hemisphere Formula

GoVolume of Hollow Hemisphere given Shell Thickness and Inner Radius Formula

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

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

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

Volume of Hollow Hemisphere given Surface to Volume Ratio Example

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

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

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

1519.3884 = 3.1416 \cdot \frac{3 \cdot 12^{2} + 10^{2}}{1.1}

1519.3884m³ = 3.1416 \cdot \frac{3 \cdot {12m}^{2} + {10m}^{2}}{1.1m⁻¹}

1519.3884 = 3.1416 \cdot \frac{3 \cdot 12^{2} + 10^{2}}{1.1}

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Volume of Hollow Hemisphere given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = π \cdot \frac{3 \cdot {12m}^{2} + {10m}^{2}}{1.1m⁻¹}

Next Step Substitute values of Constants

∴

V = 3.1416 \cdot \frac{3 \cdot {12m}^{2} + {10m}^{2}}{1.1m⁻¹}

Next Step Prepare to Evaluate

∴

V = 3.1416 \cdot \frac{3 \cdot 12^{2} + 10^{2}}{1.1}

Next Step Evaluate

∴

V = 1519.38844700888m³

LAST Step Rounding Answer

∴

V = 1519.3884m³

Volume of Hollow Hemisphere given Surface to Volume Ratio Formula Elements

Variables

Constants

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

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

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

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

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 Hemisphere

Go Volume of Hollow Hemisphere

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

Go Volume of Hollow Hemisphere given Shell Thickness and Inner Radius

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

Go Volume of Hollow Hemisphere given Shell Thickness and Outer Radius

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

Go Volume of Hollow Hemisphere given Total Surface Area and Inner Radius

V = \frac{2}{3} \cdot π \cdot ({(\sqrt{\frac{1}{3} \cdot (\frac{TSA}{π} - {r Inner}^{2})})}^{3} - {r Inner}^{3})

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

Volume of Hollow Hemisphere given Surface to Volume Ratio evaluator uses Volume of Hollow Hemisphere = pi*(3*Outer Radius of Hollow Hemisphere^2+Inner Radius of Hollow Hemisphere^2)/(Surface to Volume Ratio of Hollow Hemisphere) to evaluate the Volume of Hollow Hemisphere, The Volume of Hollow Hemisphere given Surface to Volume Ratio formula is defined as the measure of three-dimensional space enclosed by all the faces of the Hollow Hemisphere, calculated using surface to volume ratio of Hollow Hemisphere. Volume of Hollow Hemisphere is denoted by V symbol.

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

FAQs on Volume of Hollow Hemisphere given Surface to Volume Ratio

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

The formula of Volume of Hollow Hemisphere given Surface to Volume Ratio is expressed as Volume of Hollow Hemisphere = pi*(3*Outer Radius of Hollow Hemisphere^2+Inner Radius of Hollow Hemisphere^2)/(Surface to Volume Ratio of Hollow Hemisphere). Here is an example- 1519.388 = pi*(3*12^2+10^2)/(1.1).

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

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

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

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

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

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

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

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

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

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Volume of Hollow Hemisphere given Surface to Volume Ratio Formula

​GoVolume of Hollow Hemisphere Formula

​GoVolume of Hollow Hemisphere given Shell Thickness and Inner Radius Formula

Volume of Hollow Hemisphere given Surface to Volume Ratio Example

Volume of Hollow Hemisphere given Surface to Volume Ratio Solution

Volume of Hollow Hemisphere given Surface to Volume Ratio Formula Elements

Other Formulas to find Volume of Hollow Hemisphere

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

FAQs on Volume of Hollow Hemisphere given Surface to Volume Ratio

Variable Name

GoVolume of Hollow Hemisphere Formula

GoVolume of Hollow Hemisphere given Shell Thickness and Inner Radius Formula