Volume of Hollow Hemisphere given Total Surface Area and Outer Radius 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%
✖Total Surface Area of Hollow Hemisphere is the measure of the total amount of space occupied by all the faces of the Hollow Hemisphere.ⓘ Total Surface Area of Hollow Hemisphere [TSA]			+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 Total Surface Area and Outer Radius [V]

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Formula

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Volume of Hollow Hemisphere given Total Surface Area and Outer Radius

Formula

`"V" = 2/3*pi*("r"_{"Outer"}^3-(sqrt(("TSA"/pi)-(3*"r"_{"Outer"}^2)))^3)`

Example

`"1537.979m³"=2/3*pi*(("12m")^3-(sqrt(("1670m²"/pi)-(3*("12m")^2)))^3)`

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Volume of Hollow Hemisphere given Total Surface Area and Outer Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
V = 2/3*pi*(r_Outer^3-(sqrt((TSA/pi)-(3*r_Outer^2)))^3)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
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.
Total Surface Area of Hollow Hemisphere - (Measured in Square Meter) - Total Surface Area of Hollow Hemisphere is the measure of the total amount of space occupied 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
Total Surface Area of Hollow Hemisphere: 1670 Square Meter --> 1670 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 2/3*pi*(r_Outer^3-(sqrt((TSA/pi)-(3*r_Outer^2)))^3) --> 2/3*pi*(12^3-(sqrt((1670/pi)-(3*12^2)))^3)

Evaluating ... ...

V = 1537.97852256337

STEP 3: Convert Result to Output's Unit

1537.97852256337 Cubic Meter --> No Conversion Required

FINAL ANSWER

1537.97852256337 ≈ 1537.979 Cubic Meter <-- Volume of Hollow Hemisphere

(Calculation completed in 00.004 seconds)

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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 Total Surface Area and Outer Radius Formula

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 Total Surface Area and Outer Radius?

Volume of Hollow Hemisphere given Total Surface Area and Outer Radius calculator uses 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) to calculate the Volume of Hollow Hemisphere, The Volume of Hollow Hemisphere given Total Surface Area and Outer Radius formula is defined as the measure of the three-dimensional space enclosed by all the faces of the Hollow Hemisphere, calculated using total surface area and the outer radius of the Hollow Hemisphere. Volume of Hollow Hemisphere is denoted by V symbol.

How to calculate Volume of Hollow Hemisphere given Total Surface Area and Outer Radius using this online calculator? To use this online calculator for Volume of Hollow Hemisphere given Total Surface Area and Outer Radius, enter Outer Radius of Hollow Hemisphere (r_Outer) & Total Surface Area of Hollow Hemisphere (TSA) and hit the calculate button. Here is how the Volume of Hollow Hemisphere given Total Surface Area and Outer Radius calculation can be explained with given input values -> 1537.979 = 2/3*pi*(12^3-(sqrt((1670/pi)-(3*12^2)))^3).

FAQ

What is Volume of Hollow Hemisphere given Total Surface Area and Outer Radius?

The Volume of Hollow Hemisphere given Total Surface Area and Outer Radius formula is defined as the measure of the three-dimensional space enclosed by all the faces of the Hollow Hemisphere, calculated using total surface area and the outer radius of the Hollow Hemisphere and is represented as V = 2/3*pi*(r_Outer^3-(sqrt((TSA/pi)-(3*r_Outer^2)))^3) or 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). 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 & Total Surface Area of Hollow Hemisphere is the measure of the total amount of space occupied by all the faces of the Hollow Hemisphere.

How to calculate Volume of Hollow Hemisphere given Total Surface Area and Outer Radius?

The Volume of Hollow Hemisphere given Total Surface Area and Outer Radius formula is defined as the measure of the three-dimensional space enclosed by all the faces of the Hollow Hemisphere, calculated using total surface area and the outer radius of the Hollow Hemisphere is calculated using 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). To calculate Volume of Hollow Hemisphere given Total Surface Area and Outer Radius, you need Outer Radius of Hollow Hemisphere (r_Outer) & Total Surface Area of Hollow Hemisphere (TSA). With our tool, you need to enter the respective value for Outer Radius of Hollow Hemisphere & Total Surface Area 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 Outer Radius of Hollow Hemisphere & Total Surface Area 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*((Shell Thickness of Hollow Hemisphere+Inner 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-Inner Radius of Hollow Hemisphere^3)
Volume of Hollow Hemisphere = 2/3*pi*((Shell Thickness of Hollow Hemisphere+Inner Radius of Hollow Hemisphere)^3-Inner Radius of Hollow Hemisphere^3)

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