Question

What is the volume of the composite figure? (Round to the nearest hundredth. Use 3.14 for Pi.)

Answer 1

Answer:

        The volume of composite figure is 385.17 cubic centimeters

Step-by-step explanation:

EDG 2020

Answer 2

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,

                                    $Volume of half sphere, V_{Half sphere} = \frac{2}{3} \pi r^{3}$

     Where, r - Radius of Half sphere,

     From given, r = 4 centimeters

                                    $V_{Half sphere} = \frac{2}{3} \pi 4^{3}$

                                                       $= (0.6667) (3.14) (64)$        (∵ $\pi$ = 3.14 )

                                      $V_{Half sphere}$ = 133.9733 cubic centimeters

     Formula for volume of cone,

                      $Volume of cone, V_{cone} = \frac{1}{3} \pi r^{2} h$

     where, r - Radius of cone

                h - Height of cone

     From given,

                 r = 4 centimeters

                h = 15 centimeters

     Volume of cone,

                                                $V_{cone} = \frac{1}{3} \pi 4^{2}(15)$    

                                                         $= (0.333333) (3.14)(16)(15)$       (∵ $\pi$ = 3.14 )

                                                 $V_{cone}$ $= 251.1997$ 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.