Volume of Spherical Corner given Total Surface Area Calculator

✖Total Surface Area of Spherical Corner is the total quantity of two dimensional space enclosed on the entire surface of the Spherical Corner.ⓘ Total Surface Area of Spherical Corner [TSA]

+10%

-10%

✖Volume of Spherical Corner is the total quantity of three dimensional space enclosed by the surface of the Spherical Corner.ⓘ Volume of Spherical Corner given Total Surface Area [V]

⎘ Copy

👎

Formula

✖

Volume of Spherical Corner given Total Surface Area

Formula

`"V" = 4/(15*sqrt(5*pi))*("TSA")^(3/2)`

Example

`"518.2099m³"=4/(15*sqrt(5*pi))*("390m²")^(3/2)`

Calculator

LaTeX

Reset

👍

Download 3D Geometry Formula PDF

Volume of Spherical Corner given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Spherical Corner = 4/(15*sqrt(5*pi))*(Total Surface Area of Spherical Corner)^(3/2)
V = 4/(15*sqrt(5*pi))*(TSA)^(3/2)
This formula uses 1 Constants, 1 Functions, 2 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 Spherical Corner - (Measured in Cubic Meter) - Volume of Spherical Corner is the total quantity of three dimensional space enclosed by the surface of the Spherical Corner.
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.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Spherical Corner: 390 Square Meter --> 390 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 4/(15*sqrt(5*pi))*(TSA)^(3/2) --> 4/(15*sqrt(5*pi))*(390)^(3/2)

Evaluating ... ...

V = 518.209898457356

STEP 3: Convert Result to Output's Unit

518.209898457356 Cubic Meter --> No Conversion Required

FINAL ANSWER

518.209898457356 ≈ 518.2099 Cubic Meter <-- Volume of Spherical Corner

(Calculation completed in 00.020 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Spherical Corner » Volume of Spherical Corner » Volume of Spherical Corner given Total Surface Area

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< 4 Volume of Spherical Corner Calculators

Volume of Spherical Corner given Total Surface Area

Go Volume of Spherical Corner = 4/(15*sqrt(5*pi))*(Total Surface Area of Spherical Corner)^(3/2)

Volume of Spherical Corner given Arc Length

Go Volume of Spherical Corner = 4/3*pi*(Arc Length of Spherical Corner/pi)^3

Volume of Spherical Corner given Surface to Volume Ratio

Go Volume of Spherical Corner = (1125*pi)/(16*Surface to Volume Ratio of Spherical Corner^3)

Volume of Spherical Corner

Go Volume of Spherical Corner = (pi*Radius of Spherical Corner^3)/6

Volume of Spherical Corner given Total Surface Area Formula

Volume of Spherical Corner = 4/(15*sqrt(5*pi))*(Total Surface Area of Spherical Corner)^(3/2)
V = 4/(15*sqrt(5*pi))*(TSA)^(3/2)

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 Volume of Spherical Corner given Total Surface Area?

Volume of Spherical Corner given Total Surface Area calculator uses Volume of Spherical Corner = 4/(15*sqrt(5*pi))*(Total Surface Area of Spherical Corner)^(3/2) to calculate the Volume of Spherical Corner, Volume of Spherical Corner given Total Surface Area formula is defined as the total quantity of three dimensional space enclosed by the surface of the Spherical Corner, and calculated using the total surface area of the Spherical Corner. Volume of Spherical Corner is denoted by V symbol.

How to calculate Volume of Spherical Corner given Total Surface Area using this online calculator? To use this online calculator for Volume of Spherical Corner given Total Surface Area, enter Total Surface Area of Spherical Corner (TSA) and hit the calculate button. Here is how the Volume of Spherical Corner given Total Surface Area calculation can be explained with given input values -> 518.2099 = 4/(15*sqrt(5*pi))*(390)^(3/2).

FAQ

What is Volume of Spherical Corner given Total Surface Area?

Volume of Spherical Corner given Total Surface Area formula is defined as the total quantity of three dimensional space enclosed by the surface of the Spherical Corner, and calculated using the total surface area of the Spherical Corner and is represented as V = 4/(15*sqrt(5*pi))*(TSA)^(3/2) or Volume of Spherical Corner = 4/(15*sqrt(5*pi))*(Total Surface Area of Spherical Corner)^(3/2). Total Surface Area of Spherical Corner is the total quantity of two dimensional space enclosed on the entire surface of the Spherical Corner.

How to calculate Volume of Spherical Corner given Total Surface Area?

Volume of Spherical Corner given Total Surface Area formula is defined as the total quantity of three dimensional space enclosed by the surface of the Spherical Corner, and calculated using the total surface area of the Spherical Corner is calculated using Volume of Spherical Corner = 4/(15*sqrt(5*pi))*(Total Surface Area of Spherical Corner)^(3/2). To calculate Volume of Spherical Corner given Total Surface Area, you need Total Surface Area of Spherical Corner (TSA). With our tool, you need to enter the respective value for Total Surface Area 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 Volume of Spherical Corner?

In this formula, Volume of Spherical Corner uses Total Surface Area of Spherical Corner. We can use 3 other way(s) to calculate the same, which is/are as follows -

Volume of Spherical Corner = (pi*Radius of Spherical Corner^3)/6
Volume of Spherical Corner = 4/3*pi*(Arc Length of Spherical Corner/pi)^3
Volume of Spherical Corner = (1125*pi)/(16*Surface to Volume Ratio of Spherical Corner^3)

Home

FREE PDFs

🔍 Search