Outer 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%
✖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%

✖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 given Total Surface Area [r_Outer]

⎘ Copy

👎

Formula

✖

Outer Radius of Hollow Hemisphere given Total Surface Area

Formula

`"r"_{"Outer"} = sqrt(1/3*("TSA"/pi-"r"_{"Inner"}^2))`

Example

`"11.99413m"=sqrt(1/3*("1670m²"/pi-("10m")^2))`

Calculator

LaTeX

Reset

👍

Download Hollow Hemisphere Formula PDF

Outer Radius of Hollow Hemisphere given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Outer Radius of Hollow Hemisphere = sqrt(1/3*(Total Surface Area of Hollow Hemisphere/pi-Inner Radius of Hollow Hemisphere^2))
r_Outer = sqrt(1/3*(TSA/pi-r_Inner^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

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.
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

Total Surface Area of Hollow Hemisphere: 1670 Square Meter --> 1670 Square 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

r_Outer = sqrt(1/3*(TSA/pi-r_Inner^2)) --> sqrt(1/3*(1670/pi-10^2))

Evaluating ... ...

r_Outer = 11.9941306469308

STEP 3: Convert Result to Output's Unit

11.9941306469308 Meter --> No Conversion Required

FINAL ANSWER

11.9941306469308 ≈ 11.99413 Meter <-- Outer Radius of Hollow Hemisphere

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Hollow Hemisphere » Radius of Hollow Hemisphere » Outer Radius of Hollow Hemisphere » Outer Radius of Hollow Hemisphere given Total Surface Area

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< 3 Outer Radius of Hollow Hemisphere Calculators

Outer Radius of Hollow Hemisphere given Total Surface Area

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

Outer Radius of Hollow Hemisphere given Volume

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

Outer Radius of Hollow Hemisphere

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

Outer Radius of Hollow Hemisphere given Total Surface Area Formula

Outer Radius of Hollow Hemisphere = sqrt(1/3*(Total Surface Area of Hollow Hemisphere/pi-Inner Radius of Hollow Hemisphere^2))
r_Outer = sqrt(1/3*(TSA/pi-r_Inner^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 Outer Radius of Hollow Hemisphere given Total Surface Area?

Outer Radius of Hollow Hemisphere given Total Surface Area calculator uses Outer Radius of Hollow Hemisphere = sqrt(1/3*(Total Surface Area of Hollow Hemisphere/pi-Inner Radius of Hollow Hemisphere^2)) to calculate the Outer Radius of Hollow Hemisphere, The Outer 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 outer circular base of the Hollow Hemisphere, calculated using the total surface area of the Hollow Hemisphere. Outer Radius of Hollow Hemisphere is denoted by r_Outer symbol.

How to calculate Outer Radius of Hollow Hemisphere given Total Surface Area using this online calculator? To use this online calculator for Outer Radius of Hollow Hemisphere given Total Surface Area, enter Total Surface Area of Hollow Hemisphere (TSA) & Inner Radius of Hollow Hemisphere (r_Inner) and hit the calculate button. Here is how the Outer Radius of Hollow Hemisphere given Total Surface Area calculation can be explained with given input values -> 11.99413 = sqrt(1/3*(1670/pi-10^2)).

FAQ

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

The Outer 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 outer circular base of the Hollow Hemisphere, calculated using the total surface area of the Hollow Hemisphere and is represented as r_Outer = sqrt(1/3*(TSA/pi-r_Inner^2)) or Outer Radius of Hollow Hemisphere = sqrt(1/3*(Total Surface Area of Hollow Hemisphere/pi-Inner 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 & 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 Outer Radius of Hollow Hemisphere given Total Surface Area?

The Outer 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 outer circular base of the Hollow Hemisphere, calculated using the total surface area of the Hollow Hemisphere is calculated using Outer Radius of Hollow Hemisphere = sqrt(1/3*(Total Surface Area of Hollow Hemisphere/pi-Inner Radius of Hollow Hemisphere^2)). To calculate Outer Radius of Hollow Hemisphere given Total Surface Area, you need Total Surface Area of Hollow Hemisphere (TSA) & Inner Radius of Hollow Hemisphere (r_Inner). With our tool, you need to enter the respective value for Total Surface Area 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 Outer Radius of Hollow Hemisphere?

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

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

Home

FREE PDFs

🔍 Search