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Sphere Calculator
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Sphere Calculator is an online tool used to calculate surface are (A), Volume (V) and circumference (C) of a sphere.
Sphere
A sphere is a completely spherical shape geometrical object in three-dimensional space, such as the shape of a round globe. The radius of sphere r passes through the origin of the sphere. The maximum straight distance through the sphere is identified as the diameter of the sphere which is twice the radius.

The units of length that will not affect the calculations. The unit remains same for diameter and circumference of a sphere, only it defer for volume of a sphere (i.e. from unit to unit cubic) and surface area of a sphere (i.e. from unit to unit square). Any other base unit can be substituted.
 

Step by Step Calculation

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Step 1 :  

Sphere Formula's


 


Diameter of a Sphere


 


D = 2r


 


Where D = Diameter of a sphere and r = radius.


 


Volume of a Sphere


 


V = $\frac{4}{3}$ $\pi$ r3


 


Where V = Volume of a sphere, r = radius and $\pi$ values = 3.142


 


Circumference of a Sphere


 


C = 2$\pi$r


 


Where C = Circumference of a sphere, r = radius and $\pi$ value = 3.142


 


Surface Area of a Sphere


 


A = 4$\pi$r2


 


Where A = Area, r = radius and $\pi$ = 3.142



Step 2 :  

Put the values in the formuals and calculate it further.



Example Problems

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  1. Radius of a sphere is 6 cm. Find diameter, volume, circumference and Surface area of a sphere.


    Step 1 :  

    Given: Radius of the sphere is 6 cm.


     


    Diameter of a Sphere


     


    D = 2r


     


    Where D = Diameter of a sphere and r = radius.


     


    Volume of a Sphere


     


    V = $\frac{4}{3}$ $\pi$ r3


     


    Where V = Volume of a sphere, r = radius and $\pi$ values = 3.142


     


    Circumference of a Sphere


     


    C = 2$\pi$r


     


    Where C = Circumference of a sphere, r = radius and $\pi$ value = 3.142


     


    Surface Area of a Sphere


     


    A = 4$\pi$r2


     


    Where A = Area, r = radius and $\pi$ = 3.142



    Step 2 :  

    Put the values in the formula's and calculate it further.


     


    Diameter of a Sphere


     


    D = 2 * 6 cm


     


    D = 12 cm


     


    Volume of a Sphere


     


    V = $\frac{4}{3}$ * 3.142 * 63


     


    V = 904.799 cm3


     


    Circumference of a Sphere


     


    C = 2 * 3.142 * 6


     


    C = 37.699 cm


     


    Surface Area of a Sphere


     


    A = 4 * 3.142 * 62


     


    A = 452.38 cm2



    Answer  :  

    Diameter of the Sphere = 12 cm.

     

    Volume of the sphere = 904.799 cm3.

     

    Circumference of the sphere = 37.699 cm.

     

    Surface Area of the Sphere = 452.38 cm2.



  2. Radius of a sphere is 4 m. Find diameter, volume, circumference and Surface area of a sphere.


    Step 1 :  

    Given: Radius of the sphere is 4 m.


     


    Diameter of a Sphere


     


    D = 2r


     


    Where D = Diameter of a sphere and r = radius.


     


    Volume of a Sphere


     


    V = $\frac{4}{3}$ $\pi$ r3


     


    Where V = Volume of a sphere, r = radius and $\pi$ values = 3.142


     


    Circumference of a Sphere


     


    C = 2$\pi$r


     


    Where C = Circumference of a sphere, r = radius and $\pi$ value = 3.142


     


    Surface Area of a Sphere


     


    A = 4$\pi$r2


     


    Where A = Area, r = radius and $\pi$ = 3.142



    Step 2 :  

    Put the values in the formula's and calculate it further.


     


    Diameter of a Sphere


     


    D = 2 * 4 m


     


    D = 8 m


     


    Volume of a Sphere


     


    V = $\frac{4}{3}$ * 3.142 * 43


     


    V = 268.08 cm3


     


    Circumference of a Sphere


     


    C = 2 * 3.142 * 4


     


    C = 25.13 cm


     


    Surface Area of a Sphere


     


    A = 4 * 3.142 * 42


     


    A = 201.062 cm2



    Answer  :  

    Diameter of the Sphere = 8 m.

     

    Volume of the sphere = 268.08 cm3.

     

    Circumference of the sphere = 25.13 cm.

     

    Surface Area of the Sphere = 201.062 cm2.



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