Respuesta :

Answer:

1130.4 m^3

Step-by-step explanation:

For top cone:

radius r = 6 m

height [tex]h_1 = 12\:m[/tex]

For down cone:

radius r = 6 m

height [tex]h_2 = 18\:m[/tex]

[tex]V_{solid} = V_{top\: cone}+V_{down\: cone} \\ \\ = \frac{1}{3}\pi r^{2} h_{1} + \frac{1}{3}\pi r^{2} h_{2} \\ \\ = \frac{1}{3} \pi {r}^{2} ( h_{1} + h_{2}) \\ \\ = \frac{1}{3} \pi {(6)}^{2} (12 + 18) \\ \\ = 12\pi(30) \\ \\ = 360(3.14) \\ \\ = 1130.4 \: {m}^{3} [/tex]

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