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 $175.84in^3$ .

Step-by-step 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 $175.84in^3$ .