Inner Radius of Hollow Hemisphere given Volume Calculator

✖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 [r_Outer]			+10% -10%
✖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 given Volume [r_Inner]

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Inner Radius of Hollow Hemisphere given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Outer Radius of Hollow Hemisphere: 12 Meter --> 12 Meter No Conversion Required
Volume of Hollow Hemisphere: 1525 Cubic Meter --> 1525 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_Inner = (r_Outer^3-(3*V)/(2*pi))^(1/3) --> (12^3-(3*1525)/(2*pi))^(1/3)

Evaluating ... ...

r_Inner = 9.99955376460295

STEP 3: Convert Result to Output's Unit

9.99955376460295 Meter --> No Conversion Required

FINAL ANSWER

9.99955376460295 ≈ 9.999554 Meter <-- Inner Radius of Hollow Hemisphere

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

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St Joseph's College (SJC), Bengaluru

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< Inner Radius of Hollow Hemisphere Calculators

Inner Radius of Hollow Hemisphere given Total Surface Area

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

Inner Radius of Hollow Hemisphere given Volume

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

Inner Radius of Hollow Hemisphere

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

Inner Radius of Hollow Hemisphere given Volume Formula

LaTeX Go

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

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

How to calculate Inner Radius of Hollow Hemisphere given Volume using this online calculator? To use this online calculator for Inner Radius of Hollow Hemisphere given Volume, enter Outer Radius of Hollow Hemisphere (r_Outer) & Volume of Hollow Hemisphere (V) and hit the calculate button. Here is how the Inner Radius of Hollow Hemisphere given Volume calculation can be explained with given input values -> 9.999554 = (12^3-(3*1525)/(2*pi))^(1/3).

FAQ

What is Inner Radius of Hollow Hemisphere given Volume?

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

How to calculate Inner Radius of Hollow Hemisphere given Volume?

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

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

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

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