Surface Area of Hollow Sphere given Volume and Outer Radius Calculator

✖Outer Radius of Hollow Sphere is the distance between center and any point on the circumference of larger sphere of the Hollow Sphere.ⓘ Outer Radius of Hollow Sphere [r_Outer]			+10% -10%
✖Volume of Hollow Sphere is the total quantity of three dimensional space enclosed by the entire surface of the Hollow Sphere.ⓘ Volume of Hollow Sphere [V]			+10% -10%

✖Surface Area of Hollow Sphere is the total quantity of two dimensional space enclosed by the spherical surface.ⓘ Surface Area of Hollow Sphere given Volume and Outer Radius [SA]

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Surface Area of Hollow Sphere given Volume and Outer Radius

Formula

`"SA" = 4*pi*("r"_{"Outer"}^2+("r"_{"Outer"}^3-(3*"V")/(4*pi))^(2/3))`

Example

`"1703.681m²"=4*pi*(("10m")^2+(("10m")^3-(3*"3300m³")/(4*pi))^(2/3))`

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Surface Area of Hollow Sphere given Volume and Outer Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
SA = 4*pi*(r_Outer^2+(r_Outer^3-(3*V)/(4*pi))^(2/3))
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Surface Area of Hollow Sphere - (Measured in Square Meter) - Surface Area of Hollow Sphere is the total quantity of two dimensional space enclosed by the spherical surface.
Outer Radius of Hollow Sphere - (Measured in Meter) - Outer Radius of Hollow Sphere is the distance between center and any point on the circumference of larger sphere of the Hollow Sphere.
Volume of Hollow Sphere - (Measured in Cubic Meter) - Volume of Hollow Sphere is the total quantity of three dimensional space enclosed by the entire surface of the Hollow Sphere.

STEP 1: Convert Input(s) to Base Unit

Outer Radius of Hollow Sphere: 10 Meter --> 10 Meter No Conversion Required
Volume of Hollow Sphere: 3300 Cubic Meter --> 3300 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

SA = 4*pi*(r_Outer^2+(r_Outer^3-(3*V)/(4*pi))^(2/3)) --> 4*pi*(10^2+(10^3-(3*3300)/(4*pi))^(2/3))

Evaluating ... ...

SA = 1703.68108946244

STEP 3: Convert Result to Output's Unit

1703.68108946244 Square Meter --> No Conversion Required

FINAL ANSWER

1703.68108946244 ≈ 1703.681 Square Meter <-- Surface Area of Hollow Sphere

(Calculation completed in 00.004 seconds)

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< 6 Surface Area of Hollow Sphere Calculators

Surface Area of Hollow Sphere given Volume and Inner Radius

Go 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 given Volume and Outer Radius

Go 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 given Surface to Volume Ratio

Go 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)

Surface Area of Hollow Sphere given Thickness and Inner Radius

Go 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 given Thickness and Outer Radius

Go Surface Area of Hollow Sphere = 4*pi*(Outer Radius of Hollow Sphere^2+(Outer Radius of Hollow Sphere-Thickness of Hollow Sphere)^2)

Surface Area of Hollow Sphere

Go Surface Area of Hollow Sphere = 4*pi*(Outer Radius of Hollow Sphere^2+Inner Radius of Hollow Sphere^2)

Surface Area of Hollow Sphere given Volume and Outer Radius 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))
SA = 4*pi*(r_Outer^2+(r_Outer^3-(3*V)/(4*pi))^(2/3))

What is a Hollow Sphere?

A Hollow Sphere, also known as a spherical shell, is a three-dimensional geometric shape that resembles a sphere but with empty space inside. It is characterized by having a spherical outer surface and an inner void or cavity. The thickness of the shell is uniform throughout, resulting in a hollow interior.

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

Surface Area of Hollow Sphere given Volume and Outer Radius calculator 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 calculate 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 calculate Surface Area of Hollow Sphere given Volume and Outer Radius using this online calculator? To use this online calculator 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. Here is how the Surface Area of Hollow Sphere given Volume and Outer Radius calculation can be explained with given input values -> 1703.681 = 4*pi*(10^2+(10^3-(3*3300)/(4*pi))^(2/3)).

FAQ

What is Surface Area of Hollow Sphere given Volume and Outer Radius?

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 and is represented as SA = 4*pi*(r_Outer^2+(r_Outer^3-(3*V)/(4*pi))^(2/3)) or 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)). Outer Radius of Hollow Sphere is the distance between center and any point on the circumference of larger sphere of the Hollow Sphere & Volume of Hollow Sphere is the total quantity of three dimensional space enclosed by the entire surface of the Hollow Sphere.

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

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 is calculated using 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 calculate Surface Area of Hollow Sphere given Volume and Outer Radius, you need Outer Radius of Hollow Sphere (r_Outer) & Volume of Hollow Sphere (V). With our tool, you need to enter the respective value for Outer Radius of Hollow Sphere & Volume of Hollow Sphere and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Surface Area of Hollow Sphere?

In this formula, Surface Area of Hollow Sphere uses Outer Radius of Hollow Sphere & Volume of Hollow Sphere. We can use 5 other way(s) to calculate the same, which is/are as follows -

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)
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)
Surface Area of Hollow Sphere = 4*pi*(Outer Radius of Hollow Sphere^2+Inner Radius of Hollow Sphere^2)

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