Answer:
5475 cubic ft
Explanation:
The volume of a cylinder is given by
![V=\pi r^2h](https://img.qammunity.org/2023/formulas/mathematics/high-school/axumboiozoejyargdo4sskcbefipwsp4rb.png)
where
r = radius of the base
h = height of the cylinder.
Now in our case,
r = 15 / 2 = 7.5 ft
h = 31ft
therefore, the volume is
![V=\pi(7.5)^2\cdot31](https://img.qammunity.org/2023/formulas/mathematics/college/fkts6fvougoru8fesuqc3llgwt36awvzjr.png)
using π = 3.14 gives
![V=(3.14)(7.5)^2\cdot31](https://img.qammunity.org/2023/formulas/mathematics/college/d18n8hl43wzucqmiymnlktxbm9au2imc9d.png)
The right-hand side of the above equation simplifies to give
![V=5475.375](https://img.qammunity.org/2023/formulas/mathematics/college/ookxzx1apq9nnc5tt1auxkc6v2s8a638l9.png)
rounding to the nearest whole number gives
![\boxed{V=5475.}](https://img.qammunity.org/2023/formulas/mathematics/college/ohtqz6joj7njeio8tnofx3gopj67xrnrfd.png)
Hence, the volume of the grain silo is 5475 cubic ft.