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Answer :

Given a grain silo has a Cylindrical Shape with details:

diameter: 19 ft

height: 46 ft

Volume of a cylinder =

[tex]V=\pi r^2h[/tex]

The diameter of the cylinder = 19ft

[tex]\begin{gathered} \text{radius=diameter/2} \\ r=\frac{d}{2}=\frac{19}{2}=9.5ft \end{gathered}[/tex]

use the Value 3.14 for pie

[tex]\pi=3.14[/tex]

[tex]\begin{gathered} V=\pi r^2h \\ V=3.14\times(9.5)^2\times46 \\ V=13035.71ft^3 \end{gathered}[/tex]

Therefore the volume of the cylinder = 13036 ft³ (nearest whole number)