Total Surface Area of Spherical Corner Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Surface Area of Spherical Corner = 5/4*pi*Radius of Spherical Corner^2
TSA = 5/4*pi*r^2
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Total Surface Area of Spherical Corner - (Measured in Square Meter) - Total Surface Area of Spherical Corner is the total quantity of two dimensional space enclosed on the entire surface of the Spherical Corner.
Radius of Spherical Corner - (Measured in Meter) - Radius of Spherical Corner is the distance from the corner vertex to the any point on the curved surface of the Spherical Corner or it is the radius of sphere from which the Spherical Corner is cut.
STEP 1: Convert Input(s) to Base Unit
Radius of Spherical Corner: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
TSA = 5/4*pi*r^2 --> 5/4*pi*10^2
Evaluating ... ...
TSA = 392.699081698724
STEP 3: Convert Result to Output's Unit
392.699081698724 Square Meter --> No Conversion Required
FINAL ANSWER
392.699081698724 392.6991 Square Meter <-- Total Surface Area of Spherical Corner
(Calculation completed in 00.004 seconds)

Credits

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Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
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Verified by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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Total Surface Area of Spherical Corner Calculators

Total Surface Area of Spherical Corner given Volume
​ LaTeX ​ Go Total Surface Area of Spherical Corner = 5/4*pi*((6*Volume of Spherical Corner)/pi)^(2/3)
Total Surface Area of Spherical Corner given Surface to Volume Ratio
​ LaTeX ​ Go Total Surface Area of Spherical Corner = 1125/16*pi/(Surface to Volume Ratio of Spherical Corner^2)
Total Surface Area of Spherical Corner given Arc Length
​ LaTeX ​ Go Total Surface Area of Spherical Corner = 5/pi*Arc Length of Spherical Corner^2
Total Surface Area of Spherical Corner
​ LaTeX ​ Go Total Surface Area of Spherical Corner = 5/4*pi*Radius of Spherical Corner^2

Total Surface Area of Spherical Corner Formula

​LaTeX ​Go
Total Surface Area of Spherical Corner = 5/4*pi*Radius of Spherical Corner^2
TSA = 5/4*pi*r^2

What is a Spherical Corner?

If a sphere is cut into 8 equal parts by three mutually perpendicular planes passing through the center of the sphere, then one such part is called the Spherical Corner. Geometrically, a Spherical Corner consists of 1 curved surface which is one eighth part of the surface of sphere and 3 flat surfaces each of which are equal to the one fourth of the great circle of the sphere.

How to Calculate Total Surface Area of Spherical Corner?

Total Surface Area of Spherical Corner calculator uses Total Surface Area of Spherical Corner = 5/4*pi*Radius of Spherical Corner^2 to calculate the Total Surface Area of Spherical Corner, Total Surface Area of Spherical Corner formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Spherical Corner. Total Surface Area of Spherical Corner is denoted by TSA symbol.

How to calculate Total Surface Area of Spherical Corner using this online calculator? To use this online calculator for Total Surface Area of Spherical Corner, enter Radius of Spherical Corner (r) and hit the calculate button. Here is how the Total Surface Area of Spherical Corner calculation can be explained with given input values -> 392.6991 = 5/4*pi*10^2.

FAQ

What is Total Surface Area of Spherical Corner?
Total Surface Area of Spherical Corner formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Spherical Corner and is represented as TSA = 5/4*pi*r^2 or Total Surface Area of Spherical Corner = 5/4*pi*Radius of Spherical Corner^2. Radius of Spherical Corner is the distance from the corner vertex to the any point on the curved surface of the Spherical Corner or it is the radius of sphere from which the Spherical Corner is cut.
How to calculate Total Surface Area of Spherical Corner?
Total Surface Area of Spherical Corner formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Spherical Corner is calculated using Total Surface Area of Spherical Corner = 5/4*pi*Radius of Spherical Corner^2. To calculate Total Surface Area of Spherical Corner, you need Radius of Spherical Corner (r). With our tool, you need to enter the respective value for Radius of Spherical Corner 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 Total Surface Area of Spherical Corner?
In this formula, Total Surface Area of Spherical Corner uses Radius of Spherical Corner. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Total Surface Area of Spherical Corner = 5/pi*Arc Length of Spherical Corner^2
  • Total Surface Area of Spherical Corner = 5/4*pi*((6*Volume of Spherical Corner)/pi)^(2/3)
  • Total Surface Area of Spherical Corner = 1125/16*pi/(Surface to Volume Ratio of Spherical Corner^2)
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