Question

electric utility poles in the form of right cylinders are made out of wood that costs $10.00 per cubic foot. calculate the cost of a utility pole with a radius of 0.75 ft and a height of 30 ft. round your answer to the nearest cent.

Explanation:

Step1: Calculate the volume of the cylinder

The formula for the volume of a cylinder is \(V=\pi r^{2}h\). Given \(r = 0.75\) ft and \(h=30\) ft.

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Step2: Calculate the cost

The cost per cubic - foot is \(\$10.00\). Multiply the volume \(V\) by the cost per cubic - foot.
\(C = 10\times V\)
Substitute \(V\approx53.01428571\) into the formula:
\(C=10\times53.01428571 = 530.1428571\)

Answer:

\(\$530.14\)