Given:
A cylinder has a circular base with a diameter of 12 ft.
The height of the cylinder is 4 ft.
To find:
The volume of the cylinder.
Solution:
We have,
Height = 4 ft.
Diameter = 12 ft.
Radius =
ft
=
ft
Volume of a cylinder is
![V=\pi r^2h](https://img.qammunity.org/2022/formulas/mathematics/high-school/epjh35sj5an0p978o7hjzs2ufmx9ct9m3d.png)
Where, r is the base radius and h is the height of the cylinder.
Putting
r=6 and h=4, we get
![V=(3.14) (6)^2(4)](https://img.qammunity.org/2022/formulas/mathematics/high-school/wzu6taep6fi19vz715hpqt83avgdz8swi9.png)
![V=(3.14)(36)(4)](https://img.qammunity.org/2022/formulas/mathematics/high-school/1vmkbwahiu11g54p2jzklcbr238ll0ok30.png)
![V=452.16](https://img.qammunity.org/2022/formulas/mathematics/high-school/j55gw9u38fxuqemmhmum8jxnq6sxeblrnn.png)
![V\approx 452](https://img.qammunity.org/2022/formulas/mathematics/high-school/8w784wrhyiqu6sls2osqqjl5a5uva8xmxu.png)
So, the volume of the cylinder is 452 cubic ft.
Therefore, the correct option is A.