Diameter of Sphere given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Sphere = 2*((3*Volume of Sphere)/(4*pi))^(1/3)
D = 2*((3*V)/(4*pi))^(1/3)
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Diameter of Sphere - (Measured in Meter) - Diameter of Sphere is the distance from one point to other point on the Sphere which is collinear with the center of the Sphere.
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
D = 2*((3*V)/(4*pi))^(1/3) --> 2*((3*4200)/(4*pi))^(1/3)
Evaluating ... ...
D = 20.0178250518496
STEP 3: Convert Result to Output's Unit
20.0178250518496 Meter --> No Conversion Required
FINAL ANSWER
20.0178250518496 20.01783 Meter <-- Diameter of Sphere
(Calculation completed in 00.004 seconds)

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Diameter of Sphere Calculators

Diameter of Sphere given Surface Area
​ LaTeX ​ Go Diameter of Sphere = sqrt(Surface Area of Sphere/pi)
Diameter of Sphere given Volume
​ LaTeX ​ Go Diameter of Sphere = 2*((3*Volume of Sphere)/(4*pi))^(1/3)
Diameter of Sphere given Surface to Volume Ratio
​ LaTeX ​ Go Diameter of Sphere = 6/Surface to Volume Ratio of Sphere
Diameter of Sphere
​ LaTeX ​ Go Diameter of Sphere = 2*Radius of Sphere

Diameter of Sphere given Volume Formula

​LaTeX ​Go
Diameter of Sphere = 2*((3*Volume of Sphere)/(4*pi))^(1/3)
D = 2*((3*V)/(4*pi))^(1/3)

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 Diameter of Sphere given Volume?

Diameter of Sphere given Volume calculator uses Diameter of Sphere = 2*((3*Volume of Sphere)/(4*pi))^(1/3) to calculate the Diameter of Sphere, Diameter of Sphere given Volume formula is defined as the distance from one point to other point on the Sphere which is collinear with the center of the Sphere, and calculated using the volume of the Sphere. Diameter of Sphere is denoted by D symbol.

How to calculate Diameter of Sphere given Volume using this online calculator? To use this online calculator for Diameter of Sphere given Volume, enter Volume of Sphere (V) and hit the calculate button. Here is how the Diameter of Sphere given Volume calculation can be explained with given input values -> 20.01783 = 2*((3*4200)/(4*pi))^(1/3).

FAQ

What is Diameter of Sphere given Volume?
Diameter of Sphere given Volume formula is defined as the distance from one point to other point on the Sphere which is collinear with the center of the Sphere, and calculated using the volume of the Sphere and is represented as D = 2*((3*V)/(4*pi))^(1/3) or Diameter of Sphere = 2*((3*Volume of Sphere)/(4*pi))^(1/3). Volume of Sphere is the total quantity of three dimensional space enclosed by the surface of the Sphere.
How to calculate Diameter of Sphere given Volume?
Diameter of Sphere given Volume formula is defined as the distance from one point to other point on the Sphere which is collinear with the center of the Sphere, and calculated using the volume of the Sphere is calculated using Diameter of Sphere = 2*((3*Volume of Sphere)/(4*pi))^(1/3). To calculate Diameter 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 Diameter of Sphere?
In this formula, Diameter of Sphere uses Volume of Sphere. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Diameter of Sphere = 2*Radius of Sphere
  • Diameter of Sphere = sqrt(Surface Area of Sphere/pi)
  • Diameter of Sphere = 6/Surface to Volume Ratio of Sphere
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