To answer this question we will use the following formula to compute the volume of a cylinder:
![Volume=\pi* radius^2* height.](https://img.qammunity.org/2023/formulas/mathematics/college/skli9vgv8c0etn4dk63houhjjnp42w4na6.png)
Substituting radius=0.75ft and height=45ft in the above formula we get:
![Volume=\pi*(0.75ft)^2*45ft.](https://img.qammunity.org/2023/formulas/mathematics/college/q5utibfvm8ex1pmg2gno050lilcbbgmefr.png)
Simplifying the above result we get:
![\begin{gathered} Volume=\pi*0.5625ft^2*45ft \\ =23.3125\pi ft^3\approx79.52156ft^3. \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/zv4s5a9zq2wz4k5xu0lhr0rh7lqxnxoug4.png)
Since the wood costs $29.07 per cubic foot, then each utility pole costs:
![\text{\$}29.07*79.52156.](https://img.qammunity.org/2023/formulas/mathematics/college/b8zkqz6sm1ymuyi1h6nxak4qv0xw3mdun7.png)
Simplifying the above result we get:
![\text{ \$}29.07*79.52156\approx\text{\$}2311.69.](https://img.qammunity.org/2023/formulas/mathematics/college/ynpxuqxqu8cj0ndaoq3wjc5qoyr9eovz7j.png)
Anwer: $2,311.69.