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Surface Area of Sphere given Volume Formula

GoSurface Area of Sphere given Diameter Formula

GoSurface Area of Sphere given Surface to Volume Ratio Formula

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

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

SA - Surface Area of Sphere?V - Volume of Sphere?π - Archimedes' constant?

Surface Area of Sphere given Volume Example

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

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

Here is how the Surface Area of Sphere given Volume equation looks like.

1258.878 = 4 \cdot 3.1416 \cdot {(\frac{3 \cdot 4200}{4 \cdot 3.1416})}^{\frac{2}{3}}

1258.878m² = 4 \cdot 3.1416 \cdot {(\frac{3 \cdot 4200m³}{4 \cdot 3.1416})}^{\frac{2}{3}}

1258.878 = 4 \cdot 3.1416 \cdot {(\frac{3 \cdot 4200}{4 \cdot 3.1416})}^{\frac{2}{3}}

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Surface Area of Sphere given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

SA = 4 \cdot π \cdot {(\frac{3 \cdot 4200m³}{4 \cdot π})}^{\frac{2}{3}}

Next Step Substitute values of Constants

∴

SA = 4 \cdot 3.1416 \cdot {(\frac{3 \cdot 4200m³}{4 \cdot 3.1416})}^{\frac{2}{3}}

Next Step Prepare to Evaluate

∴

SA = 4 \cdot 3.1416 \cdot {(\frac{3 \cdot 4200}{4 \cdot 3.1416})}^{\frac{2}{3}}

Next Step Evaluate

∴

SA = 1258.87802169954m²

LAST Step Rounding Answer

∴

SA = 1258.878m²

Surface Area of Sphere given Volume Formula Elements

Variables

Constants

Surface Area of Sphere

Surface Area of 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 Sphere

Volume of Sphere

Volume of Sphere is the total quantity of three dimensional space enclosed by the surface of the Sphere.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of 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 Sphere

Go Surface Area of Sphere given Diameter

SA = 4 \cdot π \cdot {(\frac{D}{2})}^{2}

Go Surface Area of Sphere given Surface to Volume Ratio

SA = 36 \cdot \frac{π}{{R A/V}^{2}}

Go Surface Area of Sphere

SA = 4 \cdot π \cdot r^{2}

Go Surface Area of Sphere given Circumference

SA = \frac{C^{2}}{π}

How to Evaluate Surface Area of Sphere given Volume?

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

How to evaluate Surface Area of Sphere given Volume using this online evaluator? To use this online evaluator for Surface Area of Sphere given Volume, enter Volume of Sphere (V) and hit the calculate button.

FAQs on Surface Area of Sphere given Volume

What is the formula to find Surface Area of Sphere given Volume?

The formula of Surface Area of Sphere given Volume is expressed as Surface Area of Sphere = 4*pi*((3*Volume of Sphere)/(4*pi))^(2/3). Here is an example- 1258.878 = 4*pi*((3*4200)/(4*pi))^(2/3).

How to calculate Surface Area of Sphere given Volume?

With Volume of Sphere (V) we can find Surface Area of Sphere given Volume using the formula - Surface Area of Sphere = 4*pi*((3*Volume of Sphere)/(4*pi))^(2/3). This formula also uses Archimedes' constant .

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

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

Surface Area of Sphere=4*pi*(Diameter of Sphere/2)^2
Surface Area of Sphere=36*pi/(Surface to Volume Ratio of Sphere^2)
Surface Area of Sphere=4*pi*Radius of Sphere^2

Can the Surface Area of Sphere given Volume be negative?

No, the Surface Area of Sphere given Volume, measured in Area cannot be negative.

Which unit is used to measure Surface Area of Sphere given Volume?

Surface Area of Sphere given Volume 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 Sphere given Volume can be measured.

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