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Surface Area of Hollow Sphere given Volume and Outer Radius Formula

GoSurface Area of Hollow Sphere given Volume and Inner Radius Formula

GoSurface Area of Hollow Sphere given Thickness and Inner Radius Formula

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

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

SA - Surface Area of Hollow Sphere?r_Outer - Outer Radius of Hollow Sphere?V - Volume of Hollow Sphere?π - Archimedes' constant?

Surface Area of Hollow Sphere given Volume and Outer Radius Example

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

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

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

1703.6811 = 4 \cdot 3.1416 \cdot (10^{2} + {(10^{3} - \frac{3 \cdot 3300}{4 \cdot 3.1416})}^{\frac{2}{3}})

1703.6811m² = 4 \cdot 3.1416 \cdot ({10m}^{2} + {({10m}^{3} - \frac{3 \cdot 3300m³}{4 \cdot 3.1416})}^{\frac{2}{3}})

1703.6811 = 4 \cdot 3.1416 \cdot (10^{2} + {(10^{3} - \frac{3 \cdot 3300}{4 \cdot 3.1416})}^{\frac{2}{3}})

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Surface Area of Hollow Sphere given Volume and Outer Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

SA = 4 \cdot π \cdot ({10m}^{2} + {({10m}^{3} - \frac{3 \cdot 3300m³}{4 \cdot π})}^{\frac{2}{3}})

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

SA = 1703.68108946244m²

LAST Step Rounding Answer

∴

SA = 1703.6811m²

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

Variables

Constants

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

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 Area of Hollow Sphere

Go Surface Area of Hollow Sphere given Volume and Inner Radius

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

Go Surface Area of Hollow Sphere given Thickness and Inner Radius

SA = 4 \cdot π \cdot ({(r Inner + t)}^{2} + {r Inner}^{2})

Go Surface Area of Hollow Sphere given Thickness and Outer Radius

SA = 4 \cdot π \cdot ({r Outer}^{2} + {(r Outer - t)}^{2})

Go Surface Area of Hollow Sphere given Surface to Volume Ratio

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

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

Surface Area of Hollow Sphere given Volume and Outer Radius evaluator uses Surface Area of Hollow Sphere = 4*pi*(Outer Radius of Hollow Sphere^2+(Outer Radius of Hollow Sphere^3-(3*Volume of Hollow Sphere)/(4*pi))^(2/3)) to evaluate the Surface Area of Hollow Sphere, The Surface Area of Hollow Sphere given Volume and Outer Radius formula is defined as the total quantity of two dimensional space enclosed by the spherical surfaces of Hollow Sphere, calculated using the volume and outer radius of Hollow Sphere. Surface Area of Hollow Sphere is denoted by SA symbol.

How to evaluate Surface Area of Hollow Sphere given Volume and Outer Radius using this online evaluator? To use this online evaluator for Surface Area 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 Area of Hollow Sphere given Volume and Outer Radius

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

The formula of Surface Area of Hollow Sphere given Volume and Outer Radius is expressed as Surface Area of Hollow Sphere = 4*pi*(Outer Radius of Hollow Sphere^2+(Outer Radius of Hollow Sphere^3-(3*Volume of Hollow Sphere)/(4*pi))^(2/3)). Here is an example- 1703.681 = 4*pi*(10^2+(10^3-(3*3300)/(4*pi))^(2/3)).

How to calculate Surface Area 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 Area of Hollow Sphere given Volume and Outer Radius using the formula - Surface Area of Hollow Sphere = 4*pi*(Outer Radius of Hollow Sphere^2+(Outer Radius of Hollow Sphere^3-(3*Volume of Hollow Sphere)/(4*pi))^(2/3)). This formula also uses Archimedes' constant .

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

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

Surface Area of Hollow Sphere=4*pi*(((3*Volume of Hollow Sphere)/(4*pi)+Inner Radius of Hollow Sphere^3)^(2/3)+Inner Radius of Hollow Sphere^2)
Surface Area of Hollow Sphere=4*pi*((Inner Radius of Hollow Sphere+Thickness of Hollow Sphere)^2+Inner Radius of Hollow Sphere^2)
Surface Area of Hollow Sphere=4*pi*(Outer Radius of Hollow Sphere^2+(Outer Radius of Hollow Sphere-Thickness of Hollow Sphere)^2)

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

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

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

Surface Area of Hollow Sphere given Volume and Outer Radius is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Surface Area of Hollow Sphere given Volume and Outer Radius can be measured.

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Surface Area of Hollow Sphere given Volume and Outer Radius Formula

​GoSurface Area of Hollow Sphere given Volume and Inner Radius Formula

​GoSurface Area of Hollow Sphere given Thickness and Inner Radius Formula

Surface Area of Hollow Sphere given Volume and Outer Radius Example

Surface Area of Hollow Sphere given Volume and Outer Radius Solution

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

Other Formulas to find Surface Area of Hollow Sphere

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

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

Variable Name

GoSurface Area of Hollow Sphere given Volume and Inner Radius Formula

GoSurface Area of Hollow Sphere given Thickness and Inner Radius Formula