For detailed information about sphere, see the Solid Geometry entry, The Sphere.

The formula for the volume of the sphere is given by

Where, r = radius of the sphere

**Derivation for Volume of the Sphere**

The differential element shown in the figure is cylindrical with radius x and altitude dy. The volume of cylindrical element is...

The sum of the cylindrical elements from 0 to r is a hemisphere, twice the hemisphere will give the volume of the sphere. Thus,

From the equation of the circle x^{2} + y^{2} = r^{2}; x^{2} = r^{2} - y^{2}.

*okay!*

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