Question

10. George made a conical hat that has a slant height of 14 inches and a radius of 4

inches. The cone is open at one end. To the nearest square unit, what is the lateral
area of the hat?

Answer 1

the lateral area of the hat is
`175.84in^3` .

Explanation:

Here we have , George made a conical hat that has a slant height of 14 inches and a radius of 4 inches. The cone is open at one end. We need to find the nearest square unit , the lateral area of the hat . Let's find out:

We know that , Lateral area of cone =
`\pi rl`

⇒
`Area = \pi rl`

⇒
`Area = \pi rl \left \{ {{r=4} \atop {l=14}} \right.`

⇒
`Area = \pi 4(14)`

⇒
`Area = 56\pi`

⇒
`Area = 56(3.14)`

⇒
`Area = 175.84in^3`

Therefore , the lateral area of the hat is
`175.84in^3` .