electric utility poles in the form of right cylinders are made out of wood that costs $10.09 per cubic foot…

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 a height of 30 ft. round your answer to the nearest cent.

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 a height of 30 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 $h=30$ ft. So $V=\pi\times(0.75)^{2}\times30=\pi\times0.5625\times30 = 16.875\pi$ cubic - feet.

Step2: Calculate the cost

The cost per cubic - foot is $$10.09$. So the total cost $C = 10.09\times V$. Substitute $V = 16.875\pi$ into the cost formula: $C=10.09\times16.875\pi$. $C=10.09\times16.875\times3.14159\approx10.09\times53.0143 = 534.914287\approx534.91$.

Answer:

$$534.91$