Respuesta :
[tex]88ft^2[/tex] of fabric she will need .
Step-by-step explanation:
Here we have , Bella is building two wigwams for a school project on American Indian tribes. She first builds two wooden frames, each in the shape of a cone with a base radius of 2 feet and a slant height of 5 feet. If Bella wants to cover the frames in fabric . We need to find how many square feet of fabric will she need . Let's find out:
We know that area of cone = [tex]\pi r^2 + \pi rl[/tex] , We have following parameters as
[tex]Radius = r = 2 ft\\Slant-Height=l=5ft[/tex]
⇒ [tex]Area =\pi r^2 + \pi rl[/tex]
⇒ [tex]Area = (3.14) 2^2 + 3.14 (2(5))[/tex]
⇒ [tex]Area = 44ft^2[/tex]
But ,Bella has 2 frames . So ,
[tex]Area = 2(44)ft^2[/tex]
[tex]Area = 88ft^2[/tex]
Therefore , [tex]88ft^2[/tex] of fabric she will need .
