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Volume of Sphere given Surface Area Formula

GoVolume of Sphere given Surface to Volume Ratio Formula

GoVolume of Sphere given Diameter Formula

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

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

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

Volume of Sphere given Surface Area Example

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

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

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

4407.4647 = \frac{4}{3} \cdot 3.1416 \cdot {(\frac{1300}{4 \cdot 3.1416})}^{\frac{3}{2}}

4407.4647m³ = \frac{4}{3} \cdot 3.1416 \cdot {(\frac{1300m²}{4 \cdot 3.1416})}^{\frac{3}{2}}

4407.4647 = \frac{4}{3} \cdot 3.1416 \cdot {(\frac{1300}{4 \cdot 3.1416})}^{\frac{3}{2}}

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Volume of Sphere given Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{4}{3} \cdot π \cdot {(\frac{1300m²}{4 \cdot π})}^{\frac{3}{2}}

Next Step Substitute values of Constants

∴

V = \frac{4}{3} \cdot 3.1416 \cdot {(\frac{1300m²}{4 \cdot 3.1416})}^{\frac{3}{2}}

Next Step Prepare to Evaluate

∴

V = \frac{4}{3} \cdot 3.1416 \cdot {(\frac{1300}{4 \cdot 3.1416})}^{\frac{3}{2}}

Next Step Evaluate

∴

V = 4407.46469055557m³

LAST Step Rounding Answer

∴

V = 4407.4647m³

Volume of Sphere given Surface Area Formula Elements

Variables

Constants

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

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

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 Sphere

Go Volume of Sphere given Surface to Volume Ratio

V = \frac{4}{3} \cdot π \cdot {(\frac{3}{R A/V})}^{3}

Go Volume of Sphere given Diameter

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

Go Volume of Sphere

V = \frac{4}{3} \cdot π \cdot r^{3}

Go Volume of Sphere given Circumference

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

How to Evaluate Volume of Sphere given Surface Area?

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

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

FAQs on Volume of Sphere given Surface Area

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

The formula of Volume of Sphere given Surface Area is expressed as Volume of Sphere = 4/3*pi*(Surface Area of Sphere/(4*pi))^(3/2). Here is an example- 4407.465 = 4/3*pi*(1300/(4*pi))^(3/2).

How to calculate Volume of Sphere given Surface Area?

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

What are the other ways to Calculate Volume of Sphere?

Here are the different ways to Calculate Volume of Sphere-

Volume of Sphere=4/3*pi*(3/Surface to Volume Ratio of Sphere)^3
Volume of Sphere=4/3*pi*(Diameter of Sphere/2)^3
Volume of Sphere=4/3*pi*Radius of Sphere^3

Can the Volume of Sphere given Surface Area be negative?

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

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

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

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