Outer Radius of Hollow Sphere given Surface Area Calculator

✖Surface Area of Hollow Sphere is the total quantity of two dimensional space enclosed by the spherical surface.ⓘ Surface Area of Hollow Sphere [SA]			+10% -10%
✖Inner Radius of Hollow Sphere is the distance between center and any point on the circumference of smaller sphere of the Hollow Sphere.ⓘ Inner Radius of Hollow Sphere [r_Inner]			+10% -10%

✖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 given Surface Area [r_Outer]

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Formula

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Outer Radius of Hollow Sphere given Surface Area

Formula

`"r"_{"Outer"} = sqrt("SA"/(4*pi)-"r"_{"Inner"}^2)`

Example

`"9.96402m"=sqrt("1700m²"/(4*pi)-("6m")^2)`

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Outer Radius of Hollow Sphere given Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Outer Radius of Hollow Sphere = sqrt(Surface Area of Hollow Sphere/(4*pi)-Inner Radius of Hollow Sphere^2)
r_Outer = sqrt(SA/(4*pi)-r_Inner^2)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.
Inner Radius of Hollow Sphere - (Measured in Meter) - Inner Radius of Hollow Sphere is the distance between center and any point on the circumference of smaller sphere of the Hollow Sphere.

STEP 1: Convert Input(s) to Base Unit

Surface Area of Hollow Sphere: 1700 Square Meter --> 1700 Square Meter No Conversion Required
Inner Radius of Hollow Sphere: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_Outer = sqrt(SA/(4*pi)-r_Inner^2) --> sqrt(1700/(4*pi)-6^2)

Evaluating ... ...

r_Outer = 9.96402035466162

STEP 3: Convert Result to Output's Unit

9.96402035466162 Meter --> No Conversion Required

FINAL ANSWER

9.96402035466162 ≈ 9.96402 Meter <-- Outer Radius of Hollow Sphere

(Calculation completed in 00.004 seconds)

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< 3 Outer Radius of Hollow Sphere Calculators

Outer Radius of Hollow Sphere given Surface Area

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

Outer Radius of Hollow Sphere given Volume

Go Outer Radius of Hollow Sphere = ((3*Volume of Hollow Sphere)/(4*pi)+Inner Radius of Hollow Sphere^3)^(1/3)

Outer Radius of Hollow Sphere given Thickness

Go Outer Radius of Hollow Sphere = Inner Radius of Hollow Sphere+Thickness of Hollow Sphere

< 6 Radius of Hollow Sphere Calculators

Inner Radius of Hollow Sphere given Surface Area

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

Outer Radius of Hollow Sphere given Surface Area

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

Inner Radius of Hollow Sphere given Volume

Go Inner Radius of Hollow Sphere = (Outer Radius of Hollow Sphere^3-(3*Volume of Hollow Sphere)/(4*pi))^(1/3)

Outer Radius of Hollow Sphere given Volume

Go Outer Radius of Hollow Sphere = ((3*Volume of Hollow Sphere)/(4*pi)+Inner Radius of Hollow Sphere^3)^(1/3)

Inner Radius of Hollow Sphere given Thickness

Go Inner Radius of Hollow Sphere = Outer Radius of Hollow Sphere-Thickness of Hollow Sphere

Outer Radius of Hollow Sphere given Thickness

Go Outer Radius of Hollow Sphere = Inner Radius of Hollow Sphere+Thickness of Hollow Sphere

Outer Radius of Hollow Sphere given Surface Area Formula

Outer Radius of Hollow Sphere = sqrt(Surface Area of Hollow Sphere/(4*pi)-Inner Radius of Hollow Sphere^2)
r_Outer = sqrt(SA/(4*pi)-r_Inner^2)

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 Outer Radius of Hollow Sphere given Surface Area?

Outer Radius of Hollow Sphere given Surface Area calculator uses Outer Radius of Hollow Sphere = sqrt(Surface Area of Hollow Sphere/(4*pi)-Inner Radius of Hollow Sphere^2) to calculate the Outer Radius of Hollow Sphere, Outer Radius of Hollow Sphere given Surface Area formula is defined as the distance between center and any point on the circumference of larger sphere of the Hollow Sphere, calculated using the surface area of Hollow Sphere. Outer Radius of Hollow Sphere is denoted by r_Outer symbol.

How to calculate Outer Radius of Hollow Sphere given Surface Area using this online calculator? To use this online calculator for Outer Radius of Hollow Sphere given Surface Area, enter Surface Area of Hollow Sphere (SA) & Inner Radius of Hollow Sphere (r_Inner) and hit the calculate button. Here is how the Outer Radius of Hollow Sphere given Surface Area calculation can be explained with given input values -> 9.96402 = sqrt(1700/(4*pi)-6^2).

FAQ

What is Outer Radius of Hollow Sphere given Surface Area?

Outer Radius of Hollow Sphere given Surface Area formula is defined as the distance between center and any point on the circumference of larger sphere of the Hollow Sphere, calculated using the surface area of Hollow Sphere and is represented as r_Outer = sqrt(SA/(4*pi)-r_Inner^2) or Outer Radius of Hollow Sphere = sqrt(Surface Area of Hollow Sphere/(4*pi)-Inner Radius of Hollow Sphere^2). Surface Area of Hollow Sphere is the total quantity of two dimensional space enclosed by the spherical surface & Inner Radius of Hollow Sphere is the distance between center and any point on the circumference of smaller sphere of the Hollow Sphere.

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

Outer Radius of Hollow Sphere given Surface Area formula is defined as the distance between center and any point on the circumference of larger sphere of the Hollow Sphere, calculated using the surface area of Hollow Sphere is calculated using Outer Radius of Hollow Sphere = sqrt(Surface Area of Hollow Sphere/(4*pi)-Inner Radius of Hollow Sphere^2). To calculate Outer Radius of Hollow Sphere given Surface Area, you need Surface Area of Hollow Sphere (SA) & Inner Radius of Hollow Sphere (r_Inner). With our tool, you need to enter the respective value for Surface Area of Hollow Sphere & Inner Radius 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 Outer Radius of Hollow Sphere?

In this formula, Outer Radius of Hollow Sphere uses Surface Area of Hollow Sphere & Inner Radius of Hollow Sphere. We can use 4 other way(s) to calculate the same, which is/are as follows -

Outer Radius of Hollow Sphere = Inner Radius of Hollow Sphere+Thickness of Hollow Sphere
Outer Radius of Hollow Sphere = ((3*Volume of Hollow Sphere)/(4*pi)+Inner Radius of Hollow Sphere^3)^(1/3)
Outer Radius of Hollow Sphere = Inner Radius of Hollow Sphere+Thickness of Hollow Sphere
Outer Radius of Hollow Sphere = ((3*Volume of Hollow Sphere)/(4*pi)+Inner Radius of Hollow Sphere^3)^(1/3)

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