Respuesta :

Answer:

Volume of the Figure [tex]=825.38m^3[/tex]

Step-by-step explanation:

Volume of the figure = Volume of the Upper cone+Volume of the lower cone

Volume of a cone = [tex]\pi *r^2*\frac{h}{3}[/tex]

Volume of the Upper Cone with  

[tex]height=12m[/tex]

[tex]radius=6m[/tex]

                       [tex]3.14*6*6*\frac{12}{3}[/tex]

                        [tex]=3.14*6*6*4\\\\=3.14*36*4\\\\=3.14*144\\\\=147.14m^3[/tex]

Volume of the Lower cone with [tex]radius=6m[/tex] and [tex]height=18m[/tex]

                            [tex]=3.14*6*6*\frac{18}{3} \\\\=3.14*6*6*6\\\\=3.14*36*6\\\\=3.14*216\\\\=678.24m^3[/tex]

Volume of the Whole Figure =   [tex]147.14+678.24[/tex]

Volume of the Figure  [tex]=825.38m^3[/tex]

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