Respuesta :

Answer:

The height of the cone =33 cm

Step-by-step explanation:

The volume of a cone is V=[tex](\pi *r*r*h)/3[/tex]

Given:  Volume = 16717.36 cubic cm

        Radius= 22 cm

Volume of a cone (V)=  [tex](\pi *r*r*h)/3[/tex]

           [tex]16717.36=(3.14*22*22*h)/3\\\\16717.36*3=3.14*22*22*h\\\\50152.08=3.14*22*22*h\\\\h=50152.08/(3.14*22*22)\\\\h=50152.08/1519.76\\\\h=33 cm\\[/tex]

The height of the cone is 33 cm