Respuesta :

The volume of the tank can be calculated using the Volume of a cylinder formula, which is:

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

Where:

v = volume;

r = radius;

h = height.

In this exercise:

r = Diameter/2 = 12/2 = 6 ft

h = 16 ft

So, substituting the values:

[tex]\begin{gathered} V=\pi\cdot6^2\cdot16 \\ V=\pi\cdot36\cdot16 \\ V=576\pi \end{gathered}[/tex]

Using π = 3.14:

[tex]\begin{gathered} V=576\cdot3.14 \\ V=1808.64 \\ V=1809ft^3 \end{gathered}[/tex]

Answer:

The volume of the tank is 1809 ft³.