Thickness of Hollow Sphere given Volume and Inner Radius Calculator

✖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%
✖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%

✖Thickness of Hollow Sphere is the shortest distance between the adjacent and parallel pair of faces of the inner and outer circumferential surfaces of the Hollow Sphere.ⓘ Thickness of Hollow Sphere given Volume and Inner Radius [t]

⎘ Copy

👎

Formula

✖

Thickness of Hollow Sphere given Volume and Inner Radius

Formula

`"t" = ((3*"V")/(4*pi)+"r"_{"Inner"}^3)^(1/3)-"r"_{"Inner"}`

Example

`"4.012707m"=((3*"3300m³")/(4*pi)+("6m")^3)^(1/3)-"6m"`

Calculator

LaTeX

Reset

👍

Download Hollow Sphere Formula PDF PDF Image

Thickness of Hollow Sphere given Volume and Inner Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thickness of Hollow Sphere = ((3*Volume of Hollow Sphere)/(4*pi)+Inner Radius of Hollow Sphere^3)^(1/3)-Inner Radius of Hollow Sphere
t = ((3*V)/(4*pi)+r_Inner^3)^(1/3)-r_Inner
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Thickness of Hollow Sphere - (Measured in Meter) - Thickness of Hollow Sphere is the shortest distance between the adjacent and parallel pair of faces of the inner and outer circumferential surfaces 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.
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

Volume of Hollow Sphere: 3300 Cubic Meter --> 3300 Cubic 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

t = ((3*V)/(4*pi)+r_Inner^3)^(1/3)-r_Inner --> ((3*3300)/(4*pi)+6^3)^(1/3)-6

Evaluating ... ...

t = 4.01270707387094

STEP 3: Convert Result to Output's Unit

4.01270707387094 Meter --> No Conversion Required

FINAL ANSWER

4.01270707387094 ≈ 4.012707 Meter <-- Thickness of Hollow Sphere

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Hollow Sphere » Thickness of Hollow Sphere » Thickness of Hollow Sphere given Volume and Inner Radius

Credits

Created by Nikhil

Mumbai University (DJSCE), Mumbai

Nikhil has created this Calculator and 400+ more calculators!

Verified by Nayana Phulphagar

Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

Nayana Phulphagar has verified this Calculator and 1400+ more calculators!

< 5 Thickness of Hollow Sphere Calculators

Thickness of Hollow Sphere given Surface Area and Inner Radius

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

Thickness of Hollow Sphere given Surface Area and Outer Radius

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

Thickness of Hollow Sphere given Volume and Outer Radius

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

Thickness of Hollow Sphere given Volume and Inner Radius

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

Thickness of Hollow Sphere

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

Thickness of Hollow Sphere given Volume and Inner Radius Formula

Thickness of Hollow Sphere = ((3*Volume of Hollow Sphere)/(4*pi)+Inner Radius of Hollow Sphere^3)^(1/3)-Inner Radius of Hollow Sphere
t = ((3*V)/(4*pi)+r_Inner^3)^(1/3)-r_Inner

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 Thickness of Hollow Sphere given Volume and Inner Radius?

Thickness of Hollow Sphere given Volume and Inner Radius calculator uses Thickness of Hollow Sphere = ((3*Volume of Hollow Sphere)/(4*pi)+Inner Radius of Hollow Sphere^3)^(1/3)-Inner Radius of Hollow Sphere to calculate the Thickness of Hollow Sphere, The Thickness of Hollow Sphere given Volume and Inner Radius formula is defined as the shortest distance between the adjacent and parallel pair of faces of the inner and outer circumferential surfaces of the Hollow Sphere, calculated using the volume and inner radius of Hollow Sphere. Thickness of Hollow Sphere is denoted by t symbol.

How to calculate Thickness of Hollow Sphere given Volume and Inner Radius using this online calculator? To use this online calculator for Thickness of Hollow Sphere given Volume and Inner Radius, enter Volume of Hollow Sphere (V) & Inner Radius of Hollow Sphere (r_Inner) and hit the calculate button. Here is how the Thickness of Hollow Sphere given Volume and Inner Radius calculation can be explained with given input values -> 4.012707 = ((3*3300)/(4*pi)+6^3)^(1/3)-6.

FAQ

What is Thickness of Hollow Sphere given Volume and Inner Radius?

The Thickness of Hollow Sphere given Volume and Inner Radius formula is defined as the shortest distance between the adjacent and parallel pair of faces of the inner and outer circumferential surfaces of the Hollow Sphere, calculated using the volume and inner radius of Hollow Sphere and is represented as t = ((3*V)/(4*pi)+r_Inner^3)^(1/3)-r_Inner or Thickness of Hollow Sphere = ((3*Volume of Hollow Sphere)/(4*pi)+Inner Radius of Hollow Sphere^3)^(1/3)-Inner Radius of Hollow Sphere. Volume of Hollow Sphere is the total quantity of three dimensional space enclosed by the entire surface of the 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.

How to calculate Thickness of Hollow Sphere given Volume and Inner Radius?

The Thickness of Hollow Sphere given Volume and Inner Radius formula is defined as the shortest distance between the adjacent and parallel pair of faces of the inner and outer circumferential surfaces of the Hollow Sphere, calculated using the volume and inner radius of Hollow Sphere is calculated using Thickness of Hollow Sphere = ((3*Volume of Hollow Sphere)/(4*pi)+Inner Radius of Hollow Sphere^3)^(1/3)-Inner Radius of Hollow Sphere. To calculate Thickness of Hollow Sphere given Volume and Inner Radius, you need Volume of Hollow Sphere (V) & Inner Radius of Hollow Sphere (r_Inner). With our tool, you need to enter the respective value for Volume 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 Thickness of Hollow Sphere?

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

Thickness of Hollow Sphere = Outer Radius of Hollow Sphere-(Outer Radius of Hollow Sphere^3-(3*Volume of Hollow Sphere)/(4*pi))^(1/3)
Thickness of Hollow Sphere = sqrt(Surface Area of Hollow Sphere/(4*pi)-Inner Radius of Hollow Sphere^2)-Inner Radius of Hollow Sphere
Thickness of Hollow Sphere = Outer Radius of Hollow Sphere-sqrt(Surface Area of Hollow Sphere/(4*pi)-Outer Radius of Hollow Sphere^2)
Thickness of Hollow Sphere = Outer Radius of Hollow Sphere-Inner Radius of Hollow Sphere

Home

FREE PDFs

🔍 Search