Volume of Sphere given Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Sphere = 4/3*pi*(Surface Area of Sphere/(4*pi))^(3/2)
V = 4/3*pi*(SA/(4*pi))^(3/2)
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Surface Area of Sphere: 1300 Square Meter --> 1300 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = 4/3*pi*(SA/(4*pi))^(3/2) --> 4/3*pi*(1300/(4*pi))^(3/2)
Evaluating ... ...
V = 4407.46469055557
STEP 3: Convert Result to Output's Unit
4407.46469055557 Cubic Meter --> No Conversion Required
FINAL ANSWER
4407.46469055557 4407.465 Cubic Meter <-- Volume of Sphere
(Calculation completed in 00.012 seconds)

Credits

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St Joseph's College (SJC), Bengaluru
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5 Volume of Sphere Calculators

Volume of Sphere given Surface Area
Go Volume of Sphere = 4/3*pi*(Surface Area of Sphere/(4*pi))^(3/2)
Volume of Sphere given Circumference
Go Volume of Sphere = (4*pi)/3*(Circumference of Sphere/(2*pi))^3
Volume of Sphere given Surface to Volume Ratio
Go Volume of Sphere = 4/3*pi*(3/Surface to Volume Ratio of Sphere)^3
Volume of Sphere given Diameter
Go Volume of Sphere = 4/3*pi*(Diameter of Sphere/2)^3
Volume of Sphere
Go Volume of Sphere = 4/3*pi*Radius of Sphere^3

Volume of Sphere given Surface Area Formula

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

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 Volume of Sphere given Surface Area?

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

How to calculate Volume of Sphere given Surface Area using this online calculator? To use this online calculator for Volume of Sphere given Surface Area, enter Surface Area of Sphere (SA) and hit the calculate button. Here is how the Volume of Sphere given Surface Area calculation can be explained with given input values -> 4407.465 = 4/3*pi*(1300/(4*pi))^(3/2).

FAQ

What is Volume of Sphere given Surface Area?
Volume of Sphere given Surface Area formula is defined as the total quantity of three dimensional space enclosed by the surface of the Sphere, and calculated using the surface area of the Sphere and is represented as V = 4/3*pi*(SA/(4*pi))^(3/2) or Volume of Sphere = 4/3*pi*(Surface Area of Sphere/(4*pi))^(3/2). Surface Area of Sphere is the total quantity of two dimensional space enclosed by the spherical surface.
How to calculate Volume of Sphere given Surface Area?
Volume of Sphere given Surface Area formula is defined as the total quantity of three dimensional space enclosed by the surface of the Sphere, and calculated using the surface area of the Sphere is calculated using Volume of Sphere = 4/3*pi*(Surface Area of Sphere/(4*pi))^(3/2). To calculate Volume of Sphere given Surface Area, you need Surface Area of Sphere (SA). With our tool, you need to enter the respective value for Surface Area 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 Volume of Sphere?
In this formula, Volume of Sphere uses Surface Area of Sphere. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Volume of Sphere = 4/3*pi*(3/Surface to Volume Ratio of Sphere)^3
  • Volume of Sphere = 4/3*pi*(Diameter of Sphere/2)^3
  • Volume of Sphere = 4/3*pi*Radius of Sphere^3
  • Volume of Sphere = (4*pi)/3*(Circumference of Sphere/(2*pi))^3
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