Volume of Hollow Sphere Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Hollow Sphere = 4/3*pi*(Outer Radius of Hollow Sphere^3-Inner Radius of Hollow Sphere^3)
V = 4/3*pi*(rOuter^3-rInner^3)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
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.
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
Outer Radius of Hollow Sphere: 10 Meter --> 10 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
V = 4/3*pi*(rOuter^3-rInner^3) --> 4/3*pi*(10^3-6^3)
Evaluating ... ...
V = 3284.01152055253
STEP 3: Convert Result to Output's Unit
3284.01152055253 Cubic Meter --> No Conversion Required
FINAL ANSWER
3284.01152055253 3284.012 Cubic Meter <-- Volume of Hollow Sphere
(Calculation completed in 00.004 seconds)

Credits

Created by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
Nishan Poojary has created this Calculator and 500+ more calculators!
Verified by Mona Gladys
St Joseph's College (SJC), Bengaluru
Mona Gladys has verified this Calculator and 1800+ more calculators!

6 Volume of Hollow Sphere Calculators

Volume of Hollow Sphere given Surface Area and Outer Radius
Go Volume of Hollow Sphere = 4/3*pi*(Outer Radius of Hollow Sphere^3-(Surface Area of Hollow Sphere/(4*pi)-Outer Radius of Hollow Sphere^2)^(3/2))
Volume of Hollow Sphere given Surface Area and Inner Radius
Go Volume of Hollow Sphere = 4/3*pi*((Surface Area of Hollow Sphere/(4*pi)-Inner Radius of Hollow Sphere^2)^(3/2)-Inner Radius of Hollow Sphere^3)
Volume of Hollow Sphere given Surface to Volume Ratio
Go Volume of Hollow Sphere = (4*pi*(Outer Radius of Hollow Sphere^2+Inner Radius of Hollow Sphere^2))/Surface to Volume Ratio of Hollow Sphere
Volume of Hollow Sphere given Thickness and Inner Radius
Go Volume of Hollow Sphere = 4/3*pi*((Inner Radius of Hollow Sphere+Thickness of Hollow Sphere)^3-Inner Radius of Hollow Sphere^3)
Volume of Hollow Sphere given Thickness and Outer Radius
Go Volume of Hollow Sphere = 4/3*pi*(Outer Radius of Hollow Sphere^3-(Outer Radius of Hollow Sphere-Thickness of Hollow Sphere)^3)
Volume of Hollow Sphere
Go Volume of Hollow Sphere = 4/3*pi*(Outer Radius of Hollow Sphere^3-Inner Radius of Hollow Sphere^3)

3 Volume of Hollow Sphere Calculators

Volume of Hollow Sphere given Surface Area and Outer Radius
Go Volume of Hollow Sphere = 4/3*pi*(Outer Radius of Hollow Sphere^3-(Surface Area of Hollow Sphere/(4*pi)-Outer Radius of Hollow Sphere^2)^(3/2))
Volume of Hollow Sphere given Thickness and Inner Radius
Go Volume of Hollow Sphere = 4/3*pi*((Inner Radius of Hollow Sphere+Thickness of Hollow Sphere)^3-Inner Radius of Hollow Sphere^3)
Volume of Hollow Sphere
Go Volume of Hollow Sphere = 4/3*pi*(Outer Radius of Hollow Sphere^3-Inner Radius of Hollow Sphere^3)

Volume of Hollow Sphere Formula

Volume of Hollow Sphere = 4/3*pi*(Outer Radius of Hollow Sphere^3-Inner Radius of Hollow Sphere^3)
V = 4/3*pi*(rOuter^3-rInner^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 Volume of Hollow Sphere?

Volume of Hollow Sphere calculator uses Volume of Hollow Sphere = 4/3*pi*(Outer Radius of Hollow Sphere^3-Inner Radius of Hollow Sphere^3) to calculate the Volume of Hollow Sphere, Volume of Hollow Sphere formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Hollow Sphere. Volume of Hollow Sphere is denoted by V symbol.

How to calculate Volume of Hollow Sphere using this online calculator? To use this online calculator for Volume of Hollow Sphere, enter Outer Radius of Hollow Sphere (rOuter) & Inner Radius of Hollow Sphere (rInner) and hit the calculate button. Here is how the Volume of Hollow Sphere calculation can be explained with given input values -> 3284.012 = 4/3*pi*(10^3-6^3).

FAQ

What is Volume of Hollow Sphere?
Volume of Hollow Sphere formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Hollow Sphere and is represented as V = 4/3*pi*(rOuter^3-rInner^3) or Volume of Hollow Sphere = 4/3*pi*(Outer Radius of Hollow Sphere^3-Inner Radius of Hollow Sphere^3). Outer Radius of Hollow Sphere is the distance between center and any point on the circumference of larger sphere 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 Volume of Hollow Sphere?
Volume of Hollow Sphere formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Hollow Sphere is calculated using Volume of Hollow Sphere = 4/3*pi*(Outer Radius of Hollow Sphere^3-Inner Radius of Hollow Sphere^3). To calculate Volume of Hollow Sphere, you need Outer Radius of Hollow Sphere (rOuter) & Inner Radius of Hollow Sphere (rInner). With our tool, you need to enter the respective value for Outer Radius 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 Volume of Hollow Sphere?
In this formula, Volume of Hollow Sphere uses Outer Radius of Hollow Sphere & Inner Radius of Hollow Sphere. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • Volume of Hollow Sphere = 4/3*pi*(Outer Radius of Hollow Sphere^3-(Surface Area of Hollow Sphere/(4*pi)-Outer Radius of Hollow Sphere^2)^(3/2))
  • Volume of Hollow Sphere = 4/3*pi*((Surface Area of Hollow Sphere/(4*pi)-Inner Radius of Hollow Sphere^2)^(3/2)-Inner Radius of Hollow Sphere^3)
  • Volume of Hollow Sphere = 4/3*pi*((Inner Radius of Hollow Sphere+Thickness of Hollow Sphere)^3-Inner Radius of Hollow Sphere^3)
  • Volume of Hollow Sphere = 4/3*pi*(Outer Radius of Hollow Sphere^3-(Outer Radius of Hollow Sphere-Thickness of Hollow Sphere)^3)
  • Volume of Hollow Sphere = (4*pi*(Outer Radius of Hollow Sphere^2+Inner Radius of Hollow Sphere^2))/Surface to Volume Ratio of Hollow Sphere
  • Volume of Hollow Sphere = 4/3*pi*(Outer Radius of Hollow Sphere^3-(Surface Area of Hollow Sphere/(4*pi)-Outer Radius of Hollow Sphere^2)^(3/2))
  • Volume of Hollow Sphere = 4/3*pi*((Inner Radius of Hollow Sphere+Thickness of Hollow Sphere)^3-Inner Radius of Hollow Sphere^3)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!