Question

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, how many square feet of fabric will she need? (Use 3.14 for and round to the nearest whole number. Recall the formulas and .) square inches

Answer 1

$88ft^2$ 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  = $\pi r^2 + \pi rl$ , We have following parameters as

$Radius = r = 2 ft\\Slant-Height=l=5ft$

⇒ $Area =\pi r^2 + \pi rl$

⇒ $Area = (3.14) 2^2 + 3.14 (2(5))$

⇒ $Area = 44ft^2$

But ,Bella has 2 frames . So ,

$Area = 2(44)ft^2$

$Area = 88ft^2$          

Therefore , $88ft^2$ of fabric she will need .