Inner Radius of Hollow Hemisphere given Total Surface Area Calculator

✖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%
✖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%

✖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 Total Surface Area [r_Inner]

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Formula

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Inner Radius of Hollow Hemisphere given Total Surface Area

Formula

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

Example

`"9.978853m"=sqrt(("1670m²"/pi)-(3*("12m")^2))`

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Inner Radius of Hollow Hemisphere given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Hollow Hemisphere: 1670 Square Meter --> 1670 Square Meter No Conversion Required
Outer Radius of Hollow Hemisphere: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

r_Inner = 9.97885313685548

STEP 3: Convert Result to Output's Unit

9.97885313685548 Meter --> No Conversion Required

FINAL ANSWER

9.97885313685548 ≈ 9.978853 Meter <-- Inner Radius of Hollow Hemisphere

(Calculation completed in 00.004 seconds)

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< 3 Inner Radius of Hollow Hemisphere Calculators

Inner Radius of Hollow Hemisphere given Total Surface Area

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

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

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

Inner Radius of Hollow Hemisphere given Total Surface Area Formula

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

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 Total Surface Area?

Inner Radius of Hollow Hemisphere given Total Surface Area calculator uses Inner Radius of Hollow Hemisphere = sqrt((Total Surface Area of Hollow Hemisphere/pi)-(3*(Outer Radius of Hollow Hemisphere)^2)) to calculate the Inner Radius of Hollow Hemisphere, The Inner Radius of Hollow Hemisphere given Total Surface Area 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 total surface area of Hollow Hemisphere. Inner Radius of Hollow Hemisphere is denoted by r_Inner symbol.

How to calculate Inner Radius of Hollow Hemisphere given Total Surface Area using this online calculator? To use this online calculator for Inner Radius of Hollow Hemisphere given Total Surface Area, enter Total Surface Area of Hollow Hemisphere (TSA) & Outer Radius of Hollow Hemisphere (r_Outer) and hit the calculate button. Here is how the Inner Radius of Hollow Hemisphere given Total Surface Area calculation can be explained with given input values -> 9.978853 = sqrt((1670/pi)-(3*(12)^2)).

FAQ

What is Inner Radius of Hollow Hemisphere given Total Surface Area?

The Inner Radius of Hollow Hemisphere given Total Surface Area 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 total surface area of Hollow Hemisphere and is represented as r_Inner = sqrt((TSA/pi)-(3*(r_Outer)^2)) or Inner Radius of Hollow Hemisphere = sqrt((Total Surface Area of Hollow Hemisphere/pi)-(3*(Outer Radius of Hollow Hemisphere)^2)). Total Surface Area of Hollow Hemisphere is the measure of the total amount of space occupied by all the faces of the Hollow Hemisphere & 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.

How to calculate Inner Radius of Hollow Hemisphere given Total Surface Area?

The Inner Radius of Hollow Hemisphere given Total Surface Area 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 total surface area of Hollow Hemisphere is calculated using Inner Radius of Hollow Hemisphere = sqrt((Total Surface Area of Hollow Hemisphere/pi)-(3*(Outer Radius of Hollow Hemisphere)^2)). To calculate Inner Radius of Hollow Hemisphere given Total Surface Area, you need Total Surface Area of Hollow Hemisphere (TSA) & Outer Radius of Hollow Hemisphere (r_Outer). With our tool, you need to enter the respective value for Total Surface Area of Hollow Hemisphere & Outer 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 Inner Radius of Hollow Hemisphere?

In this formula, Inner Radius of Hollow Hemisphere uses Total Surface Area of Hollow Hemisphere & Outer Radius 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^3-(3*Volume of Hollow Hemisphere)/(2*pi))^(1/3)
Inner Radius of Hollow Hemisphere = Outer Radius of Hollow Hemisphere-Shell Thickness of Hollow Hemisphere

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