Answer:
188 cubic feet
Step-by-step explanation:
Use the volume of a cylinder formula to find the volume of the tree trunk. We are given the dimensions of the tree trunk so we can just plug these values in and solve.
Solving:
[tex]\section*{}\subsection*{Volume of a Cylinder:}The volume \( V \) of a cylinder:\[V = \pi r^2 h\]\begin{itemize} \item \( r \) is the radius of the cylinder, \item \( h \) is the height of the cylinder.\end{itemize}[/tex]
[tex]\subsection*{}We are given:\begin{itemize} \item Radius \( r = 2 \) feet, \item Height \( h = 15 \) feet.\end{itemize}\\Substituting into the formula:\[V = \pi (2)^2 (15)\]\\\[V = \pi \times 4 \times 15 = \boxed{60\pi}\]\\\[V \approx 60 \times 3.1416 =\boxed{ 188.496 \text{ cubic feet}}\][/tex]
Therefore, the correct answer option is 188 cubic feet.