The volume of composite figure is 385.17 cubic centimeters, if a half sphere and cone have a radius of 4 centimeters and height of 15 centimeters.
Step-by-step explanation:
The given is,
               Composite figure is combination of a  half sphere and cone
               Both have a radius of 4 centimeters
               The cone has a height of 15 centimeters
Step:1
    Volume of composite figure = Volume of half sphere + Volume of cone   
Step:2
      Formula for volume of semi sphere,
                                     
      Where, r - Radius of Half sphere,
      From given, r = 4 centimeters
                                     
                                                         (∵
        (∵  = 3.14 )
 = 3.14 )
                                        = 133.9733 cubic centimeters
 = 133.9733 cubic centimeters
      Formula for volume of cone,
                       
      where, r - Radius of cone
                 h - Height of cone
      From given,
                  r = 4 centimeters
                 h = 15 centimeters
      Volume of cone,
                                                  
     
                                                           (∵
       (∵  = 3.14 )
 = 3.14 )
                                                   
  cubic centimeters
 cubic centimeters
Step:3
           Volume of composite figure =  133.9733 + 251.1997
         Volume of composite figure  = 385.17 cubic centimeters
Result:
          The volume of composite figure is 385.17 cubic centimeters, if a half sphere and cone have a radius of 4 centimeters and height of 15 centimeters.