A cone shaped roof has a diameter of 12 feet a height of 8 feet and a slant of the roof is 10 feet if the roofing cost a total of $3089.76 how much does it cost per square feet

Respuesta :

Answer:

[tex]c = 16.392\,\frac{USD}{ft^{2}}[/tex]

Step-by-step explanation:

The surface area of the cone shaped roof is:

[tex]A_{s} = \pi\cdot (10\,ft)\cdot (6\,ft)[/tex]

[tex]A_{s} \approx 188.496\,ft^{2}[/tex]

The cost of roofing per square feet is: (USD stands for US dollar)

[tex]c = \frac{3089.76\,USD}{188.496\,ft^{2}}[/tex]

[tex]c = 16.392\,\frac{USD}{ft^{2}}[/tex]