A sphere is a perfectly spherical solid object which has a common center and all the points are equidistant from that point. For example a round ball is of the shape of the sphere. This is a three dimensional shape. This article on how to calculate volume of a sphere will help you in calculating volume of a sphere using simple formula.
If we cut the sphere along any diameter into two equal halves then it forms hemisphere. If we rotate a circle along any of the axis then it forms a sphere.
The distance at which the points of the sphere lie from its center is called as the radius of the sphere and usually dented by an “r”.
The formula used for calculating volume of a sphere is given as follows:
Volume of sphere = (4/3) π r3
In the above formula,
- “π” is a constant whose value is 3.14 or 22/7
- “r” is the radius of the sphere
The units in which the volume of the sphere is measured is cubic units (cm3, m3, etc)
This formula for calculating volume of a sphere was derived by Archimedes. The only dimension you need to know about the sphere is its radius. If you can calculate the radius of the sphere then you can substitute that value in the above formula and calculate volume of the sphere very easily.
Example:
Given a sphere of diameter of 10 cm, find its volume.
Here we have been given the diameter of the sphere.
We know that radius is half of the diameter.
Therefore,
Radius = diameter/2
Radius = 10/2 = 5 cm
Therefore,
Volume of sphere = (4/3) π r3
= (4/3) × 3.14 × 53
= 523.33 cubic centimeter
Practice examples:
- Calculate volume of a sphere whose radius is 23.44 m.
- Calculate volume of a sphere whose diameter if 5.0 m.
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