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Volume of Hollow Sphere given Surface Area and Inner Radius Formula

GoVolume of Hollow Sphere given Surface Area and Outer Radius Formula

GoVolume of Hollow Sphere given Thickness 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}{3} \cdot π \cdot ({(\frac{SA}{4 \cdot π} - {r Inner}^{2})}^{\frac{3}{2}} - {r Inner}^{3})

V - Volume of Hollow Sphere?SA - Surface Area of Hollow Sphere?r_Inner - Inner Radius of Hollow Sphere?π - Archimedes' constant?

Volume of Hollow Sphere given Surface Area and Inner Radius Example

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Here is how the Volume of Hollow Sphere given Surface Area and Inner Radius equation looks like with Units.

Here is how the Volume of Hollow Sphere given Surface Area and Inner Radius equation looks like.

3238.9606 = \frac{4}{3} \cdot 3.1416 \cdot ({(\frac{1700}{4 \cdot 3.1416} - 6^{2})}^{\frac{3}{2}} - 6^{3})

3238.9606m³ = \frac{4}{3} \cdot 3.1416 \cdot ({(\frac{1700m²}{4 \cdot 3.1416} - {6m}^{2})}^{\frac{3}{2}} - {6m}^{3})

3238.9606 = \frac{4}{3} \cdot 3.1416 \cdot ({(\frac{1700}{4 \cdot 3.1416} - 6^{2})}^{\frac{3}{2}} - 6^{3})

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Volume of Hollow Sphere given Surface Area and Inner Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{4}{3} \cdot π \cdot ({(\frac{1700m²}{4 \cdot π} - {6m}^{2})}^{\frac{3}{2}} - {6m}^{3})

Next Step Substitute values of Constants

∴

V = \frac{4}{3} \cdot 3.1416 \cdot ({(\frac{1700m²}{4 \cdot 3.1416} - {6m}^{2})}^{\frac{3}{2}} - {6m}^{3})

Next Step Prepare to Evaluate

∴

V = \frac{4}{3} \cdot 3.1416 \cdot ({(\frac{1700}{4 \cdot 3.1416} - 6^{2})}^{\frac{3}{2}} - 6^{3})

Next Step Evaluate

∴

V = 3238.9606457127m³

LAST Step Rounding Answer

∴

V = 3238.9606m³

Volume of Hollow Sphere given Surface Area and Inner Radius 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

Surface Area of Hollow Sphere

Surface Area of Hollow Sphere is the total quantity of two dimensional space enclosed by the spherical surface.

Symbol: SA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Surface Area 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

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 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})

Go Volume of Hollow Sphere given Surface to Volume Ratio

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

How to Evaluate Volume of Hollow Sphere given Surface Area and Inner Radius?

Volume of Hollow Sphere given Surface Area and Inner Radius evaluator uses 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) to evaluate the Volume of Hollow Sphere, The Volume of Hollow Sphere given Surface Area and Inner Radius formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Hollow Sphere, calculated using the surface area and inner radius of Hollow Sphere. Volume of Hollow Sphere is denoted by V symbol.

How to evaluate Volume of Hollow Sphere given Surface Area and Inner Radius using this online evaluator? To use this online evaluator for Volume of Hollow Sphere given Surface Area and Inner Radius, enter Surface Area of Hollow Sphere (SA) & Inner Radius of Hollow Sphere (r_Inner) and hit the calculate button.

FAQs on Volume of Hollow Sphere given Surface Area and Inner Radius

What is the formula to find Volume of Hollow Sphere given Surface Area and Inner Radius?

The formula of Volume of Hollow Sphere given Surface Area and Inner Radius is expressed as 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). Here is an example- 3238.961 = 4/3*pi*((1700/(4*pi)-6^2)^(3/2)-6^3).

How to calculate Volume of Hollow Sphere given Surface Area and Inner Radius?

With Surface Area of Hollow Sphere (SA) & Inner Radius of Hollow Sphere (r_Inner) we can find Volume of Hollow Sphere given Surface Area and Inner Radius using the formula - 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). 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*((Inner Radius of Hollow Sphere+Thickness of Hollow Sphere)^3-Inner Radius of Hollow Sphere^3)
Volume of Hollow Sphere=4/3*pi*(Outer Radius of Hollow Sphere^3-(Outer Radius of Hollow Sphere-Thickness of Hollow Sphere)^3)

Can the Volume of Hollow Sphere given Surface Area and Inner Radius be negative?

No, the Volume of Hollow Sphere given Surface Area and Inner Radius, measured in Volume cannot be negative.

Which unit is used to measure Volume of Hollow Sphere given Surface Area and Inner Radius?

Volume of Hollow Sphere given Surface Area and Inner Radius 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 Area and Inner Radius can be measured.

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Volume of Hollow Sphere given Surface Area and Inner Radius Formula

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

​GoVolume of Hollow Sphere given Thickness and Inner Radius Formula

Volume of Hollow Sphere given Surface Area and Inner Radius Example

Volume of Hollow Sphere given Surface Area and Inner Radius Solution

Volume of Hollow Sphere given Surface Area and Inner Radius Formula Elements

Other Formulas to find Volume of Hollow Sphere

How to Evaluate Volume of Hollow Sphere given Surface Area and Inner Radius?

FAQs on Volume of Hollow Sphere given Surface Area and Inner Radius

Variable Name

GoVolume of Hollow Sphere given Surface Area and Outer Radius Formula

GoVolume of Hollow Sphere given Thickness and Inner Radius Formula