Question

Electric utility poles in the form of right cylinders are made out of wood that costs $25.46 per cubic foot. Calculate the cost of a utility pole with a diameter of 1.5 ft and a height of 30 ft. Round your answer to the nearest cent.

Answer 1

Answer:

$ 1349.746624

Step-by-step explanation:

The volume of a cylinder

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

V=πr²h

where:

r is the radius

h is the height

Given the following parameters

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

h = 30ft

Get the volume of the cylinder

V=π(0.75)²(30)

V= 53.0144...ft³

If the wod costs $25.46 per cubic foot, hence the cost of the wood will be 53.0144*25.46 = $ 1349.746624