electric utility poles in the form of right cylinders are made out of wood that costs $13.02 per cubic foot…

electric utility poles in the form of right cylinders are made out of wood that costs $13.02 per cubic foot. calculate the cost of a utility pole with a radius of 0.75 ft and a height of 20 ft. round your answer to the nearest cent.

electric utility poles in the form of right cylinders are made out of wood that costs $13.02 per cubic foot. calculate the cost of a utility pole with a radius of 0.75 ft and a height of 20 ft. round your answer to the nearest cent.

Answer

Explanation:

Step1: Calculate the volume of the cylinder

The volume formula for a cylinder is $V = \pi r^{2}h$. Here, $r = 0.75$ ft and $h=20$ ft. So $V=\pi\times(0.75)^{2}\times20=\pi\times0.5625\times20 = 11.25\pi$ cubic - feet.

Step2: Calculate the cost

The cost per cubic - foot is $$13.02$. So the total cost $C$ is $C = 13.02\times V$. Substitute $V = 11.25\pi$ into the formula: $C=13.02\times11.25\pi$. $C = 13.02\times11.25\times3.14=13.02\times35.325 = 459.9315\approx459.93$.

Answer:

$$459.93$