Question

Electric utility poles in the form of right cylinders are made out of wood that costs $29.07 per cubic foot. Calculate the cost of a utility pole with a radius of 0.75 ft and a height of 45 ft. Round your answer to the nearest cent.

Answer 1

To answer this question we will use the following formula to compute the volume of a cylinder:

`Volume=\pi* radius^2* height.`

Substituting radius=0.75ft and height=45ft in the above formula we get:

`Volume=\pi*(0.75ft)^2*45ft.`

Simplifying the above result we get:

`\begin{gathered} Volume=\pi*0.5625ft^2*45ft \\ =23.3125\pi ft^3\approx79.52156ft^3. \end{gathered}`

Since the wood costs $29.07 per cubic foot, then each utility pole costs:

`\text{\$}29.07*79.52156.`

Simplifying the above result we get:

`\text{ \$}29.07*79.52156\approx\text{\$}2311.69.`

Anwer: $2,311.69.