Find the volume of a cone with a radius of 10 mm and a hight of 6 mm. ! ill be ur friend if u get it ! : -d

The answer is:  " 628 mm³ " ; or, write as:  " 200π  mm³ " .

Explanation: 


Formula for the Volume of a cone:

      V = (⅓)*π*r² * h ; 

 in which: 
 
          V = volume (which we want to solve); 
          π (pi) ≈ 3.14 ; 
          r = radius (of circle at the base of the cone = 10 mm ;
          h = height (perpendicular height) = 6 mm ; 

There are 2 (TWO) possible answers:

1) Let's start with finding the volume of this cone, 'in terms of π' ;

      V = (⅓)*π*r² * h ;

   Plug in known values, except keeping the "π" (pi) symbol as it is ;

      V = (⅓)*π*(10 mm)² * (6 mm) ;
  
      V = (⅓)*π*(100 mm² * (6 mm) ;
      
      →  V = 200π  mm³  .

2)  Now, let us find the numeric volume of this cone:

 The volume of the cone:

     V = (⅓)*π*r² * h ;

   Plug in known values ; INCLUDING "3.14" as an approximation for "π" ;

      V = (⅓)*(3.14)*(10 mm)² * (6 mm) ;
  
      V = (⅓)*(3.14)*(100 mm²) * (6 mm) ;
  
     →    (⅓)*(100 mm²) * (6 mm) = 200 mm³
 
     →  V = (3.14) * 200 mm³ ;

     →  V =  628 mm³ .