Shell Thickness 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%

✖Shell Thickness of Hollow Hemisphere is the radial distance between the outer and inner surfaces of the Hollow Hemisphere.ⓘ Shell Thickness of Hollow Hemisphere given Total Surface Area and Outer Radius [t_Shell]

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Formula

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Shell Thickness of Hollow Hemisphere given Total Surface Area and Outer Radius

Formula

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

Example

`"2.021147m"="12m"-sqrt(("1670m²"/pi)-(3*("12m")^2))`

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Shell Thickness of Hollow Hemisphere given Total Surface Area and Outer Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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

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

Evaluating ... ...

t_Shell = 2.02114686314452

STEP 3: Convert Result to Output's Unit

2.02114686314452 Meter --> No Conversion Required

FINAL ANSWER

2.02114686314452 ≈ 2.021147 Meter <-- Shell Thickness of Hollow Hemisphere

(Calculation completed in 00.005 seconds)

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< 5 Shell Thickness of Hollow Hemisphere Calculators

Shell Thickness of Hollow Hemisphere given Total Surface Area and Inner Radius

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

Shell Thickness of Hollow Hemisphere given Total Surface Area and Outer Radius

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

Shell Thickness of Hollow Hemisphere given Volume and Inner Radius

Go Shell Thickness of Hollow Hemisphere = ((3*Volume of Hollow Hemisphere)/(2*pi)+Inner Radius of Hollow Hemisphere^3)^(1/3)-Inner Radius of Hollow Hemisphere

Shell Thickness of Hollow Hemisphere given Volume and Outer Radius

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

Shell Thickness of Hollow Hemisphere

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

Shell Thickness 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 Shell Thickness of Hollow Hemisphere given Total Surface Area and Outer Radius?

Shell Thickness of Hollow Hemisphere given Total Surface Area and Outer Radius calculator uses Shell Thickness of Hollow Hemisphere = Outer Radius of Hollow Hemisphere-sqrt((Total Surface Area of Hollow Hemisphere/pi)-(3*Outer Radius of Hollow Hemisphere^2)) to calculate the Shell Thickness of Hollow Hemisphere, The Shell Thickness of Hollow Hemisphere given Total Surface Area and Outer Radius formula is defined as the radial distance between the outer and inner surfaces of the Hollow Hemisphere, calculated using the total surface area and outer radius of the Hollow Hemisphere. Shell Thickness of Hollow Hemisphere is denoted by t_Shell symbol.

How to calculate Shell Thickness of Hollow Hemisphere given Total Surface Area and Outer Radius using this online calculator? To use this online calculator for Shell Thickness 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 Shell Thickness of Hollow Hemisphere given Total Surface Area and Outer Radius calculation can be explained with given input values -> 2.021147 = 12-sqrt((1670/pi)-(3*12^2)).

FAQ

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

The Shell Thickness of Hollow Hemisphere given Total Surface Area and Outer Radius formula is defined as the radial distance between the outer and inner surfaces of the Hollow Hemisphere, calculated using the total surface area and outer radius of the Hollow Hemisphere and is represented as t_Shell = r_Outer-sqrt((TSA/pi)-(3*r_Outer^2)) or Shell Thickness of Hollow Hemisphere = Outer Radius of Hollow Hemisphere-sqrt((Total Surface Area of Hollow Hemisphere/pi)-(3*Outer Radius of Hollow Hemisphere^2)). 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 Shell Thickness of Hollow Hemisphere given Total Surface Area and Outer Radius?

The Shell Thickness of Hollow Hemisphere given Total Surface Area and Outer Radius formula is defined as the radial distance between the outer and inner surfaces of the Hollow Hemisphere, calculated using the total surface area and outer radius of the Hollow Hemisphere is calculated using Shell Thickness of Hollow Hemisphere = Outer Radius of Hollow Hemisphere-sqrt((Total Surface Area of Hollow Hemisphere/pi)-(3*Outer Radius of Hollow Hemisphere^2)). To calculate Shell Thickness 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 Shell Thickness of Hollow Hemisphere?

In this formula, Shell Thickness of Hollow Hemisphere uses Outer Radius of Hollow Hemisphere & Total Surface Area of Hollow Hemisphere. We can use 4 other way(s) to calculate the same, which is/are as follows -

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

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