Volume of Hollow Hemisphere given Shell Thickness and Inner Radius Calculator

✖Shell Thickness of Hollow Hemisphere is the radial distance between the outer and inner surfaces of the Hollow Hemisphere.ⓘ Shell Thickness of Hollow Hemisphere [t_Shell]			+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%

✖Volume of Hollow Hemisphere is the measure of three-dimensional space enclosed by all the faces of the Hollow Hemisphere.ⓘ Volume of Hollow Hemisphere given Shell Thickness and Inner Radius [V]

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Formula

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Volume of Hollow Hemisphere given Shell Thickness and Inner Radius

Formula

`"V" = 2/3*pi*(("t"_{"Shell"}+"r"_{"Inner"})^3-"r"_{"Inner"}^3)`

Example

`"1524.72m³"=2/3*pi*(("2m"+"10m")^3-("10m")^3)`

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Volume of Hollow Hemisphere given Shell Thickness and Inner Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Shell Thickness of Hollow Hemisphere - (Measured in Meter) - Shell Thickness of Hollow Hemisphere is the radial distance between the outer and inner surfaces 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

Shell Thickness of Hollow Hemisphere: 2 Meter --> 2 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

V = 2/3*pi*((t_Shell+r_Inner)^3-r_Inner^3) --> 2/3*pi*((2+10)^3-10^3)

Evaluating ... ...

V = 1524.71963454225

STEP 3: Convert Result to Output's Unit

1524.71963454225 Cubic Meter --> No Conversion Required

FINAL ANSWER

1524.71963454225 ≈ 1524.72 Cubic Meter <-- Volume 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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< 6 Volume of Hollow Hemisphere Calculators

Volume of Hollow Hemisphere given Total Surface Area and Inner Radius

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

Volume of Hollow Hemisphere given Total Surface Area and Outer Radius

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

Volume of Hollow Hemisphere given Surface to Volume Ratio

Go Volume of Hollow Hemisphere = pi*(3*Outer Radius of Hollow Hemisphere^2+Inner Radius of Hollow Hemisphere^2)/(Surface to Volume Ratio of Hollow Hemisphere)

Volume of Hollow Hemisphere given Shell Thickness and Inner Radius

Go Volume of Hollow Hemisphere = 2/3*pi*((Shell Thickness of Hollow Hemisphere+Inner Radius of Hollow Hemisphere)^3-Inner Radius of Hollow Hemisphere^3)

Volume of Hollow Hemisphere given Shell Thickness and Outer Radius

Go Volume of Hollow Hemisphere = 2/3*pi*(Outer Radius of Hollow Hemisphere^3-(Outer Radius of Hollow Hemisphere-Shell Thickness of Hollow Hemisphere)^3)

Volume of Hollow Hemisphere

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

< 3 Volume of Hollow Hemisphere Calculators

Volume of Hollow Hemisphere given Total Surface Area and Outer Radius

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

Volume of Hollow Hemisphere given Shell Thickness and Inner Radius

Go Volume of Hollow Hemisphere = 2/3*pi*((Shell Thickness of Hollow Hemisphere+Inner Radius of Hollow Hemisphere)^3-Inner Radius of Hollow Hemisphere^3)

Volume of Hollow Hemisphere

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

Volume of Hollow Hemisphere given Shell Thickness and Inner Radius Formula

Volume of Hollow Hemisphere = 2/3*pi*((Shell Thickness of Hollow Hemisphere+Inner Radius of Hollow Hemisphere)^3-Inner Radius of Hollow Hemisphere^3)
V = 2/3*pi*((t_Shell+r_Inner)^3-r_Inner^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 Volume of Hollow Hemisphere given Shell Thickness and Inner Radius?

Volume of Hollow Hemisphere given Shell Thickness and Inner Radius calculator uses Volume of Hollow Hemisphere = 2/3*pi*((Shell Thickness of Hollow Hemisphere+Inner Radius of Hollow Hemisphere)^3-Inner Radius of Hollow Hemisphere^3) to calculate the Volume of Hollow Hemisphere, Volume of Hollow Hemisphere given Shell Thickness and Inner Radius formula is defined as the measure of three-dimensional space enclosed by all the faces of the Hollow Hemisphere, calculated using shell thickness and inner radius of Hollow Hemisphere. Volume of Hollow Hemisphere is denoted by V symbol.

How to calculate Volume of Hollow Hemisphere given Shell Thickness and Inner Radius using this online calculator? To use this online calculator for Volume of Hollow Hemisphere given Shell Thickness and Inner Radius, enter Shell Thickness of Hollow Hemisphere (t_Shell) & Inner Radius of Hollow Hemisphere (r_Inner) and hit the calculate button. Here is how the Volume of Hollow Hemisphere given Shell Thickness and Inner Radius calculation can be explained with given input values -> 1524.72 = 2/3*pi*((2+10)^3-10^3).

FAQ

What is Volume of Hollow Hemisphere given Shell Thickness and Inner Radius?

Volume of Hollow Hemisphere given Shell Thickness and Inner Radius formula is defined as the measure of three-dimensional space enclosed by all the faces of the Hollow Hemisphere, calculated using shell thickness and inner radius of Hollow Hemisphere and is represented as V = 2/3*pi*((t_Shell+r_Inner)^3-r_Inner^3) or Volume of Hollow Hemisphere = 2/3*pi*((Shell Thickness of Hollow Hemisphere+Inner Radius of Hollow Hemisphere)^3-Inner Radius of Hollow Hemisphere^3). Shell Thickness of Hollow Hemisphere is the radial distance between the outer and inner surfaces 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 Volume of Hollow Hemisphere given Shell Thickness and Inner Radius?

Volume of Hollow Hemisphere given Shell Thickness and Inner Radius formula is defined as the measure of three-dimensional space enclosed by all the faces of the Hollow Hemisphere, calculated using shell thickness and inner radius of Hollow Hemisphere is calculated using Volume of Hollow Hemisphere = 2/3*pi*((Shell Thickness of Hollow Hemisphere+Inner Radius of Hollow Hemisphere)^3-Inner Radius of Hollow Hemisphere^3). To calculate Volume of Hollow Hemisphere given Shell Thickness and Inner Radius, you need Shell Thickness of Hollow Hemisphere (t_Shell) & Inner Radius of Hollow Hemisphere (r_Inner). With our tool, you need to enter the respective value for Shell Thickness 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 Volume of Hollow Hemisphere?

In this formula, Volume of Hollow Hemisphere uses Shell Thickness of Hollow Hemisphere & Inner Radius of Hollow Hemisphere. We can use 7 other way(s) to calculate the same, which is/are as follows -

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

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