Solution:
First, let's find the radius with the given diameter.
⇒ Diameter = 2(Radius)
⇒ 12 ft = 2(Radius)
⇒ 6 ft = Radius
The area of the cylinder is basically the area of a circle in the cylinder multiplied by the height of the cylinder. This means that the volume of the cylinder is πr²h. Now, let's find the volume of the cylinder.
⇒ πr²h = Volume of cylinder
⇒ (3.14)(6²)(14) = Volume of cylinder
⇒ (3.14)(36)(14) = Volume of cylinder
⇒ 1582.56 ft³ = Volume of cylinder