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Electric utility poles in the form of right cylinders are made out of wood that costs $12.62 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.

Sagot :

abidemiokin

The cost of the wood will be $1,003.05

Volume of a cylinder

The formula for calculating the volume of a cylinder is expressed as:

[tex]V =\pi r^2 h[/tex]

where:

  • r is the radius
  • h is the height

Given the following parameters

r = d/2 = 1.5/2 = 0.75ft

h = 45ft

Get the volume of the cylinder

[tex]V=3.14(0.75)^2(45)\\V=79.48125ft^3[/tex]

If the wood costs $12.62 per cubic foot, hence the cost of the wood will be 79.4815 * 12.62 = $1,003.05

Learn more on volume of cylinder here: https://brainly.com/question/9554871

The cost of the utility pole with a diameter of 1.5 ft and a height of 45 ft is 1003.05 dollars.

Volume of a cylinder:

  • Volume = πr²h

where

r = radius

h = height

The cylindrical pole cost $12.62 per cubic foot.

Therefore,

h = 45 ft

r = 1.5 / 2 = 0.75 ft

v = π × 0.75² × 45

v = 25.3125 × 3.14

v = 79.48125 ft³

1 ft³ = $12.62

79.48125 ft³ = ?

Cost of the utility pole = 79.48125 × 12.62 = $1003.053375 ≈ $1003. 05

learn more on cylinder here; https://brainly.com/question/2961243?referrer=searchResults

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