To answer this question we will use the following formula to compute the volume of a cylinder:
[tex]Volume=\pi\times radius^2\times height.[/tex]Substituting radius=0.75ft and height=45ft in the above formula we get:
[tex]Volume=\pi\times(0.75ft)^2\times45ft.[/tex]Simplifying the above result we get:
[tex]\begin{gathered} Volume=\pi\times0.5625ft^2\times45ft \\ =23.3125\pi ft^3\approx79.52156ft^3. \end{gathered}[/tex]Since the wood costs $29.07 per cubic foot, then each utility pole costs:
[tex]\text{\$}29.07\times79.52156.[/tex]Simplifying the above result we get:
[tex]\text{ \$}29.07\times79.52156\approx\text{\$}2311.69.[/tex]Anwer: $2,311.69.
