We will have the following:
Radius: We can see that the radius is 4 ft. [Marked]
Area of the base: We recall that the area of a circle will be given by:
[tex]A=r^2\pi[/tex]So:
[tex]\begin{gathered} A=(4ft)^2\pi\Rightarrow A=16\pi ft^2 \\ \\ \Rightarrow A\approx50.27dt^2 \end{gathered}[/tex]So, the area is approximately 50.27 ft^2.
Volume of the cylinder: We recall that the volume of the cylinder is given by:
[tex]V=r^2h\pi[/tex]So:
[tex]\begin{gathered} V=(4ft)^2(3ft)\pi\Rightarrow V=48\pi ft^3 \\ \\ \Rightarrow V\approx150.80ft^3 \end{gathered}[/tex]So, the volume is approximately 150.80 ft^3.