Volume of a Cone is a measurement of the occupied units of a Cone. The volume of a Cone is represented by cubic units like cubic centimeter, cubic millimeter and so on. Volume of a Cone is the number of units used to fill a Cone.

Cone is a three dimensional shape which has a circular base and tapers to a point known as the vertex of the cone. The cone axis is a straight line which passes through the apex of the cone. Cone has a rotational symmetry. In elementary geometry, cone is used as a right circular object.

  

Volume of a Cone Formula

 

                                        Volume of a Cone

The volume of cone  formula is given as,

V = `(pir^2h)/(3)`

Where,

r = radius of the circular base

h = height of the cone.

Value of  ∏ = 3.14

Using this formula, we can find the volume of any cone whose radius and height are given.

 

How to Find the Volume of a Cone

 

Given below are some solved examples on how to find the volume of a cone.
Example 1: Find the volume of cone, whose radius is 6 cm and height, is 8 cm.
 
Solution:                             Formula for Volume of a Cone          
The volume formula of cone is,
V =`(pir^2h)/3`
V = `((3.14)*(62)*(8))/3`
   = `((3.14)*(36)*(8))/3`
   = `((113.04)*(8))/3`
         
   = `904.32 / 3` cm3.
 
The volume of the cone = 301.44cm3.
Example 2: Find the volume of cone, whose radius is 8 cm and height, is 5 cm.
 
Solution:
                              How to Find the Volume of a Cone
The volume of a cone formula is,
 
V = `(pir^2h)/3`
 
V = `((3.14)*(82)*(5))/3`
 
   = `((3.14)*(64)*(5))/3` 
 
   = `((200.96)*(5))/3`
 
   = `(1004.8)/3` cm3.
 
Volume of the cone = 334.93 
Example 3:  Find the volume of cone, whose diameter is 8 cm and height, is 11 cm.
 
Solution:                              Find the Volume of a Cone
The formula for volume of a cone is,
 
V = `(pir^2h)/3`
 
radius = `D/2`
 
          = 8/2
 
Radius = 4 cm.
 
V = `((3.14)*(42)*(11))/3`
 
   = `((3.14)*(16)*(11))/3`
 
   = `((50.24)*(11))/3`
 
   = 552.64 /3 cm3.
 
Volume of the cone = 184.21