[tex]\large\text{$ A ~altura ~do~ silo ~ \Rightarrow ~h = 20~m $}[/tex]
O raio do cilindro:
r = 8 \div 2
r = 4 ~m
Volume do cilindro:
[tex]V = r^2 . h . \pi\\\\V = 4^2~. ~(h - 3) ~. ~\pi \\\\V = 16~. ~(h - 3) ~. ~\pi \\\\ \boxed{V = 16h\pi - 48\pi ~~m^3}[/tex]
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Volume do tronco de cone:
[tex]V = \dfrac{1}{3}~. ~\pi ~. ~ ~h ~. ~( R^2 + R.r + r^2)\\\\\\V = \dfrac{1}{3}~. ~\pi ~. ~~3 ~. ~( 16 + 12 + 9)\\\\\\V = \dfrac{3}{3}~. ~\pi ~. ~( 37)\\\\\\V = 37\pi ~m^3[/tex]
Somar os volumes
[tex]Vt = 16h\pi - 48\pi + 37\pi \\\\\\970,26 =16h\pi - 11\pi \\\\\\970,26 =(16h - 11) ~. ~\pi \\\\\\970,26 =(16h - 11) ~. ~3,14\\\\\\\dfrac{970,26}{3,14} =16h - 11\\\\\\309 =16h - 11 \\\\\\309 + 11 = 16h\\\\\\320 = 16h\\\\\\h = \dfrac{320}{16} \\\\\\\boxed{~~h = 20~~}[/tex]
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