Question

Solid metal support poles in the form of right cylinders are made out of metal with a density of 7.3 g/cm^3 3 . This metal can be purchased for $0.38 per kilogram. Calculate the cost of a utility pole with a radius of 8.7 cm and a height of 610 cm. Round your answer to the nearest cent.

Answer 1

The cost of the metals from the calculations performed is $ 402421.

What is density?

Density can be explained as a quantity having  mass per unit volume and this can be calculated as:

Mass of the metal = ?

Density of the metal =  7.3 g/cm^3

height of the metal = 610 cm

radius of the metal = 8.7 cm

Volume of a cylinder  can be calculated by using the formular below:

$(\pi r^2h )$ And this can be used by inserting the given values which is

$= 3.142 * (8.7)^2 * 610 cm = 145068.97cm^3$

Then we can calculate the mass as :

Mass = (density * volume)

$= (7.3 g/cm3 * 145068cm^3)\\\\=1059003kg$

=Since the cost is $0.38 per kilogram, then 3657 Kg costs

;( 1059003kg * $0.38)

= $ 402421

Learn more about density at: brainly.com/question/1578538

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