The amount of water silo can hold in terms of π is 324π cubic feet
Solution:
Given that cylindrical shaped silo has a diameter of 18 feet and a height of 4 feet
To find: Amount of water silo can hold in terms of π
This means we are asked to find the volume of cylindrical shaped silo
The volume of cylinder is given as:
![\text {volume of cylinder }=\pi \mathrm{r}^(2) \mathrm{h}](https://img.qammunity.org/2020/formulas/mathematics/college/pnttg0wjhovxreqmekewnp9rz75c196yjb.png)
Where "r" is the radius of cylinder
"h" is the height of cylinder
π is the constant has a value 3.14
Given diameter = 18 feet
![radius = (diameter)/(2) = (18)/(2) = 9](https://img.qammunity.org/2020/formulas/mathematics/college/4sraylfg08j4b1pwaxp2h35pvjtkdtbubq.png)
Substituting the values in formula, we get
![\text {volume of cylinder }=\pi * 9^(2) * 4](https://img.qammunity.org/2020/formulas/mathematics/college/7kh5i08d49pmbdriqnwez17l6u71x4jhzh.png)
![\text {volume of cylinder }=\pi * 81 * 4=324 \pi](https://img.qammunity.org/2020/formulas/mathematics/college/8cjsqxty0pd05nn0szhwzvs9aldbsp4ipy.png)
Thus amount of water silo can hold in terms of π is 324π cubic feet