Question

electric utility poles in the form of right cylinders are made out of wood that costs $10.09 per cubic foot. calculate the cost of a utility pole with a radius of 0.75 ft and height of 30 ft. round your answer to the nearest cent.

Explanation:

Step1: Calculate volume of cylinder

Volume formula for cylinder: $V = \pi r^2 h$. Substitute $r=0.75$ ft, $h=30$ ft:
$V = \pi (0.75)^2 (30)$
$V = \pi (0.5625)(30) = 16.875\pi \approx 53.014$ cubic feet.

Step2: Calculate total cost

Cost = Volume × cost per cubic foot:
Cost = $53.014 × 10 = 530.14$

Answer:

530.14