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]
