Finding the volume of a cone

The formula for the volume of a cone = 1⁄3 πr^2*h

h =height

r = radius

 Please note πr^2*h is actually the volume of a cylinder that has the same height and radius. However it takes three cones to fill up a cylinder so that is why you multiply by 1/3

 Video for Volume of a Cone

Problem 1. Find the volume of a cone with a height of 10 and a radius of 6 units.

 

 Click the cone above for additional information

Step 1.  Plug your numbers into the formula. 

              1⁄3 π6^2*10  

 

Step 2 Simplify 1⁄3 π6^2*10  

 

Step 2b 1⁄3 π36*10

 

Step 3 1⁄3 x 36⁄1 π x 10  

 

Step 3b 12π x 10=120π units^3 (Please note volume is always cubed)