IDNLearn.com: Your trusted platform for finding precise and reliable answers. Get prompt and accurate answers to your questions from our community of knowledgeable experts.

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 :

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