Respuesta :

The formula of the volume of the cylinder is

[tex]V=\pi r^2h[/tex]

Where:

r is the radius of its base

h is its height

Since the radius is 1/2 the diameter

Since the diameter of the base is 8 ft, then

[tex]\begin{gathered} r=\frac{1}{2}\times8 \\ r=4\text{ ft} \end{gathered}[/tex]

Since the height is 12 ft, then

h = 12

Substitute r by 4 and h by 12 in the formula above to find the volume

[tex]\begin{gathered} V=3.14\times(4)^2\times(12) \\ V=3.14\times16\times12 \\ V=602.88ft^3 \end{gathered}[/tex]

Round it to the nearest whole number

V = 603 cubic feet to the nearest whole number