Outer Radius of Hollow Hemisphere given Volume Calculator

✖Volume of Hollow Hemisphere is the measure of three-dimensional space enclosed by all the faces of the Hollow Hemisphere.ⓘ Volume of Hollow Hemisphere [V]			+10% -10%
✖Inner Radius of Hollow Hemisphere is a line segment from the center to a point on the curved surface of the inner circular base of Hollow Hemisphere.ⓘ Inner Radius of Hollow Hemisphere [r_Inner]			+10% -10%

✖Outer Radius of Hollow Hemisphere is a line segment from the center to a point on the curved surface of the outer circular base of the Hollow Hemisphere.ⓘ Outer Radius of Hollow Hemisphere given Volume [r_Outer]

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Outer Radius of Hollow Hemisphere given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Outer Radius of Hollow Hemisphere = ((3*Volume of Hollow Hemisphere)/(2*pi)+Inner Radius of Hollow Hemisphere^3)^(1/3)
r_Outer = ((3*V)/(2*pi)+r_Inner^3)^(1/3)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Outer Radius of Hollow Hemisphere - (Measured in Meter) - Outer Radius of Hollow Hemisphere is a line segment from the center to a point on the curved surface of the outer circular base of the Hollow Hemisphere.
Volume of Hollow Hemisphere - (Measured in Cubic Meter) - Volume of Hollow Hemisphere is the measure of three-dimensional space enclosed by all the faces of the Hollow Hemisphere.
Inner Radius of Hollow Hemisphere - (Measured in Meter) - Inner Radius of Hollow Hemisphere is a line segment from the center to a point on the curved surface of the inner circular base of Hollow Hemisphere.

STEP 1: Convert Input(s) to Base Unit

Volume of Hollow Hemisphere: 1525 Cubic Meter --> 1525 Cubic Meter No Conversion Required
Inner Radius of Hollow Hemisphere: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_Outer = ((3*V)/(2*pi)+r_Inner^3)^(1/3) --> ((3*1525)/(2*pi)+10^3)^(1/3)

Evaluating ... ...

r_Outer = 12.000309863863

STEP 3: Convert Result to Output's Unit

12.000309863863 Meter --> No Conversion Required

FINAL ANSWER

12.000309863863 ≈ 12.00031 Meter <-- Outer Radius of Hollow Hemisphere

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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St Joseph's College (SJC), Bengaluru

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< Outer Radius of Hollow Hemisphere Calculators

Outer Radius of Hollow Hemisphere given Total Surface Area

LaTeX Go Outer Radius of Hollow Hemisphere = sqrt(1/3*(Total Surface Area of Hollow Hemisphere/pi-Inner Radius of Hollow Hemisphere^2))

Outer Radius of Hollow Hemisphere given Volume

LaTeX Go Outer Radius of Hollow Hemisphere = ((3*Volume of Hollow Hemisphere)/(2*pi)+Inner Radius of Hollow Hemisphere^3)^(1/3)

Outer Radius of Hollow Hemisphere

LaTeX Go Outer Radius of Hollow Hemisphere = Shell Thickness of Hollow Hemisphere+Inner Radius of Hollow Hemisphere

Outer Radius of Hollow Hemisphere given Volume Formula

LaTeX Go

Outer Radius of Hollow Hemisphere = ((3*Volume of Hollow Hemisphere)/(2*pi)+Inner Radius of Hollow Hemisphere^3)^(1/3)
r_Outer = ((3*V)/(2*pi)+r_Inner^3)^(1/3)

What is Hollow Hemisphere?

A Hollow Hemisphere is a three-dimensional object with only the outer circular bowl boundary, and nothing is filled inside. It is made of two hemispheres of different sizes and with the same center and same slice plane, where the smaller hemisphere is subtracted from the larger.

How to Calculate Outer Radius of Hollow Hemisphere given Volume?

Outer Radius of Hollow Hemisphere given Volume calculator uses Outer Radius of Hollow Hemisphere = ((3*Volume of Hollow Hemisphere)/(2*pi)+Inner Radius of Hollow Hemisphere^3)^(1/3) to calculate the Outer Radius of Hollow Hemisphere, Outer Radius of Hollow Hemisphere given Volume formula is defined as a line segment from the center to a point on the curved surface of the outer circular base of the Hollow Hemisphere, calculated using the volume of the Hollow Hemisphere. Outer Radius of Hollow Hemisphere is denoted by r_Outer symbol.

How to calculate Outer Radius of Hollow Hemisphere given Volume using this online calculator? To use this online calculator for Outer Radius of Hollow Hemisphere given Volume, enter Volume of Hollow Hemisphere (V) & Inner Radius of Hollow Hemisphere (r_Inner) and hit the calculate button. Here is how the Outer Radius of Hollow Hemisphere given Volume calculation can be explained with given input values -> 12.00031 = ((3*1525)/(2*pi)+10^3)^(1/3).

FAQ

What is Outer Radius of Hollow Hemisphere given Volume?

Outer Radius of Hollow Hemisphere given Volume formula is defined as a line segment from the center to a point on the curved surface of the outer circular base of the Hollow Hemisphere, calculated using the volume of the Hollow Hemisphere and is represented as r_Outer = ((3*V)/(2*pi)+r_Inner^3)^(1/3) or Outer Radius of Hollow Hemisphere = ((3*Volume of Hollow Hemisphere)/(2*pi)+Inner Radius of Hollow Hemisphere^3)^(1/3). Volume of Hollow Hemisphere is the measure of three-dimensional space enclosed by all the faces of the Hollow Hemisphere & Inner Radius of Hollow Hemisphere is a line segment from the center to a point on the curved surface of the inner circular base of Hollow Hemisphere.

How to calculate Outer Radius of Hollow Hemisphere given Volume?

Outer Radius of Hollow Hemisphere given Volume formula is defined as a line segment from the center to a point on the curved surface of the outer circular base of the Hollow Hemisphere, calculated using the volume of the Hollow Hemisphere is calculated using Outer Radius of Hollow Hemisphere = ((3*Volume of Hollow Hemisphere)/(2*pi)+Inner Radius of Hollow Hemisphere^3)^(1/3). To calculate Outer Radius of Hollow Hemisphere given Volume, you need Volume of Hollow Hemisphere (V) & Inner Radius of Hollow Hemisphere (r_Inner). With our tool, you need to enter the respective value for Volume of Hollow Hemisphere & Inner Radius of Hollow Hemisphere 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 Hemisphere?

In this formula, Outer Radius of Hollow Hemisphere uses Volume of Hollow Hemisphere & Inner Radius of Hollow Hemisphere. We can use 2 other way(s) to calculate the same, which is/are as follows -

Outer Radius of Hollow Hemisphere = Shell Thickness of Hollow Hemisphere+Inner Radius of Hollow Hemisphere
Outer Radius of Hollow Hemisphere = sqrt(1/3*(Total Surface Area of Hollow Hemisphere/pi-Inner Radius of Hollow Hemisphere^2))

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