Inner Diameter of Thin Spherical Shell given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Inner diameter of pressurized cylinder = (6*Volume of thin spherical shell/pi)^(1/3)
di = (6*V/pi)^(1/3)
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Inner diameter of pressurized cylinder - (Measured in Meter) - Inner diameter of pressurized cylinder is the diameter of the inner circle or the internal surface of a cylinder under pressure.
Volume of thin spherical shell - (Measured in Cubic Meter) - Volume of thin spherical shell is the amount of space that the object occupies or that is enclosed within the shell.
STEP 1: Convert Input(s) to Base Unit
Volume of thin spherical shell: 0.25 Cubic Meter --> 0.25 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
di = (6*V/pi)^(1/3) --> (6*0.25/pi)^(1/3)
Evaluating ... ...
di = 0.781592641796772
STEP 3: Convert Result to Output's Unit
0.781592641796772 Meter -->781.592641796772 Millimeter (Check conversion here)
FINAL ANSWER
781.592641796772 781.5926 Millimeter <-- Inner diameter of pressurized cylinder
(Calculation completed in 00.004 seconds)

Credits

Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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14 Thin Cylinder Calculators

Thickness of Thin Spherical Shell given Permissible tensile stress
Go Thickness of pressurized cylinder wall = Internal pressure on cylinder*Inner diameter of pressurized cylinder/(4*Permissible Tensile stress in pressurized cylinder)
Permissible Tensile Stress in Thin Spherical Shell
Go Permissible Tensile stress in pressurized cylinder = Internal pressure on cylinder*Inner diameter of pressurized cylinder/(4*Thickness of pressurized cylinder wall)
Internal Pressure in Thin Spherical Shell given Permissible Tensile Stress
Go Internal pressure on cylinder = 4*Thickness of pressurized cylinder wall*Permissible Tensile stress in pressurized cylinder/Inner diameter of pressurized cylinder
Inner Diameter of Thin Spherical Shell given Permissible Tensile Stress
Go Inner diameter of pressurized cylinder = 4*Thickness of pressurized cylinder wall*Permissible Tensile stress in pressurized cylinder/Internal pressure on cylinder
Cylinder Wall Thickness of Thin Cylinder given Longitudinal Stress
Go Thickness of pressurized cylinder wall = Internal pressure on cylinder*Inner diameter of pressurized cylinder/(4*Longitudinal stress in pressurized cylinder)
Longitudinal Stress in Thin Cylinder given Internal Pressure
Go Longitudinal stress in pressurized cylinder = Internal pressure on cylinder*Inner diameter of pressurized cylinder/(4*Thickness of pressurized cylinder wall)
Cylinder Wall Thickness of Thin Cylinder given Tangential Stress
Go Thickness of pressurized cylinder wall = Internal pressure on cylinder*Inner diameter of pressurized cylinder/(2*Tangential stress in pressurized cylinder)
Internal Pressure in Thin Cylinder given Longitudinal Stress
Go Internal pressure on cylinder = 4*Thickness of pressurized cylinder wall*Longitudinal stress in pressurized cylinder/Inner diameter of pressurized cylinder
Tangential Stress in Thin Cylinder given Internal Pressure
Go Tangential stress in pressurized cylinder = Internal pressure on cylinder*Inner diameter of pressurized cylinder/(2*Thickness of pressurized cylinder wall)
Inner Diameter of Thin Cylinder given Longitudinal Stress
Go Inner diameter of pressurized cylinder = 4*Thickness of pressurized cylinder wall*Longitudinal stress in pressurized cylinder/Internal pressure on cylinder
Internal Pressure in Thin Cylinder given Tangential Stress
Go Internal pressure on cylinder = 2*Thickness of pressurized cylinder wall*Tangential stress in pressurized cylinder/Inner diameter of pressurized cylinder
Inner Diameter of Thin Cylinder given Tangential Stress
Go Inner diameter of pressurized cylinder = 2*Thickness of pressurized cylinder wall*Tangential stress in pressurized cylinder/Internal pressure on cylinder
Inner Diameter of Thin Spherical Shell given Volume
Go Inner diameter of pressurized cylinder = (6*Volume of thin spherical shell/pi)^(1/3)
Volume of Thin Spherical Shell given Inner Diameter
Go Volume of thin spherical shell = pi*(Inner diameter of pressurized cylinder^3)/6

Inner Diameter of Thin Spherical Shell given Volume Formula

Inner diameter of pressurized cylinder = (6*Volume of thin spherical shell/pi)^(1/3)
di = (6*V/pi)^(1/3)

What is a Pressure Vessel?

A pressure vessel is a container designed to hold gases or liquids at a pressure substantially different from the ambient pressure.

How to Calculate Inner Diameter of Thin Spherical Shell given Volume?

Inner Diameter of Thin Spherical Shell given Volume calculator uses Inner diameter of pressurized cylinder = (6*Volume of thin spherical shell/pi)^(1/3) to calculate the Inner diameter of pressurized cylinder, Inner Diameter of Thin Spherical Shell given Volume formula is defined as the diameter of the internal surface of a pressurized cylindrical vessel. Inner diameter of pressurized cylinder is denoted by di symbol.

How to calculate Inner Diameter of Thin Spherical Shell given Volume using this online calculator? To use this online calculator for Inner Diameter of Thin Spherical Shell given Volume, enter Volume of thin spherical shell (V) and hit the calculate button. Here is how the Inner Diameter of Thin Spherical Shell given Volume calculation can be explained with given input values -> 781592.6 = (6*0.25/pi)^(1/3).

FAQ

What is Inner Diameter of Thin Spherical Shell given Volume?
Inner Diameter of Thin Spherical Shell given Volume formula is defined as the diameter of the internal surface of a pressurized cylindrical vessel and is represented as di = (6*V/pi)^(1/3) or Inner diameter of pressurized cylinder = (6*Volume of thin spherical shell/pi)^(1/3). Volume of thin spherical shell is the amount of space that the object occupies or that is enclosed within the shell.
How to calculate Inner Diameter of Thin Spherical Shell given Volume?
Inner Diameter of Thin Spherical Shell given Volume formula is defined as the diameter of the internal surface of a pressurized cylindrical vessel is calculated using Inner diameter of pressurized cylinder = (6*Volume of thin spherical shell/pi)^(1/3). To calculate Inner Diameter of Thin Spherical Shell given Volume, you need Volume of thin spherical shell (V). With our tool, you need to enter the respective value for Volume of thin spherical shell 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 Inner diameter of pressurized cylinder?
In this formula, Inner diameter of pressurized cylinder uses Volume of thin spherical shell. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Inner diameter of pressurized cylinder = 2*Thickness of pressurized cylinder wall*Tangential stress in pressurized cylinder/Internal pressure on cylinder
  • Inner diameter of pressurized cylinder = 4*Thickness of pressurized cylinder wall*Longitudinal stress in pressurized cylinder/Internal pressure on cylinder
  • Inner diameter of pressurized cylinder = 4*Thickness of pressurized cylinder wall*Permissible Tensile stress in pressurized cylinder/Internal pressure on cylinder
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