Question

a grain silo has a cylindrical shape. it's radius is 9ft and it's height is 52 ft. what is the volume of the silo

Answer 1

Given: A grain silo in cylindrical shape with the dimension below:

`\begin{gathered} radius=r=9ft \\ height=h=52ft \end{gathered}`

To Determine: The volume of silo

The volume of a cylinder can be calculated by the formula below:

`V_{\text{CYLINDER}}=\pi r^2h`

Substitute the given dimension into the formula

`\begin{gathered} V_{\text{CYLINDER}}=(22)/(7)*9^2*52 \\ V_{\text{CYLINDER}}=(92664)/(7) \\ V_{\text{CYLINDER}}=13237.71ft^3 \end{gathered}`

Hence, the volume of the silo is 13,237.71ft³