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 = [tex]\dfrac{12}{2}[/tex] ft
= [tex]6[/tex] ft
Volume of a cylinder is
[tex]V=\pi r^2h[/tex]
Where, r is the base radius and h is the height of the cylinder.
Putting [tex]\pi=3.14[/tex] r=6 and h=4, we get
[tex]V=(3.14) (6)^2(4)[/tex]
[tex]V=(3.14)(36)(4)[/tex]
[tex]V=452.16[/tex]
[tex]V\approx 452[/tex]
So, the volume of the cylinder is 452 cubic ft.
Therefore, the correct option is A.