Electric utility poles in the form of right cylinders are made out of wood that costs $\$ 18.17$ per cubic foot. Calculate the cost of a utility pole with a diameter of $1 \mathrm{ft}$ and a height of $30 \mathrm{ft}$. Round your answer to the nearest cent.

Step 1 ：Given that the diameter of the utility pole is 1 ft, we can calculate the radius as half of the diameter, which is \(0.5\) ft.

Step 2 ：The height of the utility pole is given as \(30\) ft.

Step 3 ：The cost of the wood used to make the utility pole is given as \(\$18.17\) per cubic foot.

Step 4 ：We can calculate the volume of the utility pole, which is in the shape of a right cylinder, using the formula \(V = \pi r^2 h\), where \(r\) is the radius and \(h\) is the height. Substituting the given values, we get \(V = \pi (0.5)^2 \times 30\).

Step 5 ：We then multiply the volume of the utility pole by the cost per cubic foot to find the total cost. This gives us \(\$18.17 \times V\).

Step 6 ：Finally, we round the total cost to the nearest cent to get the final answer.

Step 7 ：Final Answer: The cost of the utility pole is \(\boxed{428.12}\) dollars.