Volume of a cone formula

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A cone is a geometrical figure which consists of a circular base and this base joins to the top most point of the cone, known as the ‘vertex’ thus forming the curved surface of the cone. There are plenty of examples of cones, and the easiest example to imagine for a cone is an ice cream cone. Volume of a cone indicates the amount of space present inside a cone and it can be calculated by the formula, V = 1/3 * π * r2 * h.
 
Example 1: Estimate the volume of the cone whose height is 4m and the radius of its circular base is 6m.

Given: radius, r = 6m
Height of the cone, h = 4m
Volume of the cone, V = 1/3 * π * r2 * h
This gives: Volume of the cone, V = 1/3 * π * 62 * 4 = 48 * π = 150.8m3
Therefore, the volume of the given cone is 150.8m3
 

Example 2: Estimate the volume of the cone whose height is 5m and the radius of its circular base is 2m.

Given: radius, r = 2m
Height of the cone, h = 5m
Volume of the cone, V = 1/3 * π * r2 * h
This gives: Volume of the cone, V = 1/3 * π * 22 * 5 = 20/3 * π = 20.94m3
Therefore, the volume of the given cone is 20.94m3



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