Answer:
$39 per square foot.
Step-by-step explanation:
The cylinder has a height of 2 feet and a radius of 5 feet.
The total cost of the metal will be (assuming US dollars) $8572.20.
And we want to determine the cost per square foot.
First, we can find the surface area of the cylinder. The surface area for a cylinder is given by the formula:
[tex]SA=2\pi r^2+2\pi rh[/tex]
Where r is the radius and h is the height.
Since the radius is 5 feet and the height is 2 feet and using 3.14 for π, the surface area is:
[tex]SA=2(3.14)(5)^2+2(3.14)(5)(2) =219.8\text{ feet}^2[/tex]
Therefore, to find the cost of metal per square foot, we can divide the total cost over the amount of surface area. Hence:
[tex]8572.20 / 219.8= \$ 39 \text{ per square foot}[/tex]
So, the metal costs $39 per square foot.
