The volume of silo is 4840.22 cubic units.
What is hexagonal prism?
A hexagonal prism is a 3-D figure that has two hexagonal bases that are parallel to each other. A hexagonal prism is a prism with hexagonal base and top. This polyhedron has 8 faces, 18 edges, and 12 vertices. Out of the 8 faces, 6 are rectangles, and 2 are hexagons.
For the given situation,
The silo is in a form a hexagonal prism.
The base edge of the silo, a = 9 ft
The height of the silo, h = 23 ft
The formula of volume of the hexagonal prism is
[tex]V=\frac{3\sqrt{3} }{2}a^{2}h[/tex]
Substitute the above values,
⇒ [tex]V=\frac{3\sqrt{3} }{2}(9^{2})(23)[/tex]
⇒ [tex]V=4840.215[/tex] ≈ [tex]4840.22[/tex]
Hence we can conclude that the volume of silo is 4840.22 cubic units.
Learn more about hexagonal prism here
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