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Surface Area of Hollow Sphere given Surface to Volume Ratio Formula

GoSurface Area of Hollow Sphere given Volume and Inner Radius Formula

GoSurface Area of Hollow Sphere given Volume and Outer 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 = \frac{4}{3} \cdot π \cdot R A/V \cdot ({r Outer}^{3} - {r Inner}^{3})

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

Surface Area of Hollow Sphere given Surface to Volume Ratio Example

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

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

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

1642.0058 = \frac{4}{3} \cdot 3.1416 \cdot 0.5 \cdot (10^{3} - 6^{3})

1642.0058m² = \frac{4}{3} \cdot 3.1416 \cdot 0.5m⁻¹ \cdot ({10m}^{3} - {6m}^{3})

1642.0058 = \frac{4}{3} \cdot 3.1416 \cdot 0.5 \cdot (10^{3} - 6^{3})

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Surface Area of Hollow Sphere given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

SA = \frac{4}{3} \cdot π \cdot 0.5m⁻¹ \cdot ({10m}^{3} - {6m}^{3})

Next Step Substitute values of Constants

∴

SA = \frac{4}{3} \cdot 3.1416 \cdot 0.5m⁻¹ \cdot ({10m}^{3} - {6m}^{3})

Next Step Prepare to Evaluate

∴

SA = \frac{4}{3} \cdot 3.1416 \cdot 0.5 \cdot (10^{3} - 6^{3})

Next Step Evaluate

∴

SA = 1642.00576027627m²

LAST Step Rounding Answer

∴

SA = 1642.0058m²

Surface Area of Hollow Sphere given Surface to Volume Ratio 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

Surface to Volume Ratio of Hollow Sphere

Surface to Volume Ratio of Hollow Sphere is the numerical ratio of the total surface area of the Hollow Sphere to the volume of the Hollow Sphere.

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 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

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 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 Volume and Outer Radius

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

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})

How to Evaluate Surface Area of Hollow Sphere given Surface to Volume Ratio?

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

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

FAQs on Surface Area of Hollow Sphere given Surface to Volume Ratio

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

The formula of Surface Area of Hollow Sphere given Surface to Volume Ratio is expressed as Surface Area of Hollow Sphere = 4/3*pi*Surface to Volume Ratio of Hollow Sphere*(Outer Radius of Hollow Sphere^3-Inner Radius of Hollow Sphere^3). Here is an example- 1642.006 = 4/3*pi*0.5*(10^3-6^3).

How to calculate Surface Area of Hollow Sphere given Surface to Volume Ratio?

With Surface to Volume Ratio of Hollow Sphere (R_A/V), Outer Radius of Hollow Sphere (r_Outer) & Inner Radius of Hollow Sphere (r_Inner) we can find Surface Area of Hollow Sphere given Surface to Volume Ratio using the formula - Surface Area of Hollow Sphere = 4/3*pi*Surface to Volume Ratio of Hollow Sphere*(Outer Radius of Hollow Sphere^3-Inner Radius of Hollow Sphere^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*(Outer Radius of Hollow Sphere^2+(Outer Radius of Hollow Sphere^3-(3*Volume of Hollow Sphere)/(4*pi))^(2/3))
Surface Area of Hollow Sphere=4*pi*((Inner Radius of Hollow Sphere+Thickness of Hollow Sphere)^2+Inner Radius of Hollow Sphere^2)

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

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

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

Surface Area of Hollow Sphere given Surface to Volume Ratio 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 Surface to Volume Ratio can be measured.

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Surface Area of Hollow Sphere given Surface to Volume Ratio Formula

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

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

Surface Area of Hollow Sphere given Surface to Volume Ratio Example

Surface Area of Hollow Sphere given Surface to Volume Ratio Solution

Surface Area of Hollow Sphere given Surface to Volume Ratio Formula Elements

Other Formulas to find Surface Area of Hollow Sphere

How to Evaluate Surface Area of Hollow Sphere given Surface to Volume Ratio?

FAQs on Surface Area of Hollow Sphere given Surface to Volume Ratio

Variable Name

GoSurface Area of Hollow Sphere given Volume and Inner Radius Formula

GoSurface Area of Hollow Sphere given Volume and Outer Radius Formula