Electric utility poles in the form of right cylinders are made out of wood that costs
$11.07 per cubic foot. Calculate the cost of a utility pole with a diameter of 1.5 ft and a
height of 40 ft. Round your answer to the nearest cent.

Respuesta :

The cost of a utility pole with a diameter of 1.5 ft and a height of 40 ft is $782.1

How to calculate the cost of a utility pole with a diameter of 1.5 ft and a height of 40 ft?

The given parameters are:

Cost per cubic foot = $11.07 per cubic foot

Height = 40 feet

Diameter = 1.5 feet

Shape = Cylinder

The volume of the cylinder is calculated as:

V = πr^2h

Where

r = Diameter/2

So, we have

r = 1.5/2

Evaluate

r = 0.75

The volume of the cylinder becomes

V = 3.14 * 0.75^2 * 40

Evaluate

V = 70.65

The cost per cubic foot is $11.07 per cubic foot.

So, the cost of a utility pole is

Cost = $11.07 * 70.65

Evaluate

Cost = $782.1

Hence, the cost of a utility pole with a diameter of 1.5 ft and a height of 40 ft is $782.1

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