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:
![A=r^2\pi](https://img.qammunity.org/2023/formulas/mathematics/college/6ickbieita4tqptfh9dck40mojb7jnw2t6.png)
So:
![\begin{gathered} A=(4ft)^2\pi\Rightarrow A=16\pi ft^2 \\ \\ \Rightarrow A\approx50.27dt^2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ipc1k8sqteyn7gj904qm93ow1mmxil99wi.png)
So, the area is approximately 50.27 ft^2.
Volume of the cylinder: We recall that the volume of the cylinder is given by:
![V=r^2h\pi](https://img.qammunity.org/2023/formulas/mathematics/high-school/940xnq1g9zctp8qhxux5ss7e0v9jdysskf.png)
So:
![\begin{gathered} V=(4ft)^2(3ft)\pi\Rightarrow V=48\pi ft^3 \\ \\ \Rightarrow V\approx150.80ft^3 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/err9rvlkd0ja28ycue477bg8q18k4n4d2h.png)
So, the volume is approximately 150.80 ft^3.