Surface Area of Sphere given Volume Calculator

✖Volume of Sphere is the total quantity of three dimensional space enclosed by the surface of the Sphere.ⓘ Volume of Sphere [V]

+10%

-10%

✖Surface Area of Sphere is the total quantity of two dimensional space enclosed by the spherical surface.ⓘ Surface Area of Sphere given Volume [SA]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Sphere Formulas PDF PDF Image

Surface Area of Sphere given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface Area of Sphere = 4*pi*((3*Volume of Sphere)/(4*pi))^(2/3)
SA = 4*pi*((3*V)/(4*pi))^(2/3)
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Surface Area of Sphere - (Measured in Square Meter) - Surface Area of Sphere is the total quantity of two dimensional space enclosed by the spherical surface.
Volume of Sphere - (Measured in Cubic Meter) - Volume of Sphere is the total quantity of three dimensional space enclosed by the surface of the Sphere.

STEP 1: Convert Input(s) to Base Unit

Volume of Sphere: 4200 Cubic Meter --> 4200 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

SA = 4*pi*((3*V)/(4*pi))^(2/3) --> 4*pi*((3*4200)/(4*pi))^(2/3)

Evaluating ... ...

SA = 1258.87802169954

STEP 3: Convert Result to Output's Unit

1258.87802169954 Square Meter --> No Conversion Required

FINAL ANSWER

1258.87802169954 ≈ 1258.878 Square Meter <-- Surface Area of Sphere

(Calculation completed in 00.006 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Sphere » Surface Area of Sphere » Surface Area of Sphere given Volume

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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

Verified by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

Anamika Mittal has verified this Calculator and 300+ more calculators!

< Surface Area of Sphere Calculators

Surface Area of Sphere given Volume

LaTeX Go Surface Area of Sphere = 4*pi*((3*Volume of Sphere)/(4*pi))^(2/3)

Surface Area of Sphere given Surface to Volume Ratio

LaTeX Go Surface Area of Sphere = 36*pi/(Surface to Volume Ratio of Sphere^2)

Surface Area of Sphere given Diameter

LaTeX Go Surface Area of Sphere = 4*pi*(Diameter of Sphere/2)^2

Surface Area of Sphere

LaTeX Go Surface Area of Sphere = 4*pi*Radius of Sphere^2

Surface Area of Sphere given Volume Formula

LaTeX Go

Surface Area of Sphere = 4*pi*((3*Volume of Sphere)/(4*pi))^(2/3)
SA = 4*pi*((3*V)/(4*pi))^(2/3)

What is a Sphere?

A Sphere is a closed and symmetrical 3D shape which consists of all the points which are in a fixed distance from a fixed point. The fixed point is called the center of Sphere and the fixed distance is called the radius of the Sphere. Spheres are the three dimensional extension of circles in two dimension.

How to Calculate Surface Area of Sphere given Volume?

Surface Area of Sphere given Volume calculator uses Surface Area of Sphere = 4*pi*((3*Volume of Sphere)/(4*pi))^(2/3) to calculate the Surface Area of Sphere, Surface Area of Sphere given Volume formula is defined as the total quantity of two dimensional space enclosed by the spherical surface, and calculated using the volume of the Sphere. Surface Area of Sphere is denoted by SA symbol.

How to calculate Surface Area of Sphere given Volume using this online calculator? To use this online calculator for Surface Area of Sphere given Volume, enter Volume of Sphere (V) and hit the calculate button. Here is how the Surface Area of Sphere given Volume calculation can be explained with given input values -> 1258.878 = 4*pi*((3*4200)/(4*pi))^(2/3).

FAQ

What is Surface Area of Sphere given Volume?

Surface Area of Sphere given Volume formula is defined as the total quantity of two dimensional space enclosed by the spherical surface, and calculated using the volume of the Sphere and is represented as SA = 4*pi*((3*V)/(4*pi))^(2/3) or Surface Area of Sphere = 4*pi*((3*Volume of Sphere)/(4*pi))^(2/3). Volume of Sphere is the total quantity of three dimensional space enclosed by the surface of the Sphere.

How to calculate Surface Area of Sphere given Volume?

Surface Area of Sphere given Volume formula is defined as the total quantity of two dimensional space enclosed by the spherical surface, and calculated using the volume of the Sphere is calculated using Surface Area of Sphere = 4*pi*((3*Volume of Sphere)/(4*pi))^(2/3). To calculate Surface Area of Sphere given Volume, you need Volume of Sphere (V). With our tool, you need to enter the respective value for Volume of Sphere 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 Surface Area of Sphere?

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

Surface Area of Sphere = 4*pi*(Diameter of Sphere/2)^2
Surface Area of Sphere = 36*pi/(Surface to Volume Ratio of Sphere^2)
Surface Area of Sphere = 4*pi*Radius of Sphere^2

Home

FREE PDFs

🔍 Search