Question

Electric utility poles in the form of right cylinders are made out of wood that costs $25.37 per cubic foot. Calculate the cost of a utility pole with a diameter of 1.5 ft and a height of 45 ft. Round your answer to the nearest cent.

Answer 1

The cost of a utility pole with a diameter of 1.5 ft and a height of 45 ft is $2421.67.

Step-by-step explanation:

To calculate the cost of a utility pole, we need to find its volume and multiply it by the cost per cubic foot of wood. The formula for the volume of a right cylinder is V = πr^2h, where r is the radius of the base and h is the height.

Given that the diameter is 1.5 ft, the radius is 0.75 ft. Plugging these values into the formula, we get V = π(0.75)^2(45) = 95.43 cubic feet. Multiplying this volume by the cost per cubic foot of wood ($25.37), we get the cost of the utility pole to be $2421.67.