Respuesta :

Answer:

1,785.58........................

Answer:

Step-by-step explanation:

volume of a cone = [tex]\pi[/tex][tex]r^{2}[/tex](h/3)

1st find the height

[tex]23.6^{2}[/tex]= [tex]h^{2}[/tex] +  [tex]8.5^{2}[/tex]

556.96 =  [tex]h^{2}[/tex] +72.25

484.71 =[tex]h^{2}[/tex]

22.01613045 = h

now solve for the volume

V= [tex]\pi[/tex][tex]8.5^{2}[/tex](22.01613045/3)

V = 1665.7409

V = 1665.74 [tex]km^{2}[/tex] ( rounded to nearest 100th)

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