Get the best answers to your questions with the help of IDNLearn.com's experts. Get the information you need from our community of experts who provide accurate and comprehensive answers to all your questions.
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.