Question

The conical hat shown here is a traditional sun-protective straw hat originating in eastern Asia. What is the approximate outer surface area of one of these hats that has a radius of 9 inches and a slant height of twelve inches? Keep in mind that there is an opening in the hat where the base surface would normally be. Show the steps of your solution and explain your work.

Answer 1

The surface area of the main "open-ended" cone is the same as the surface area of a full (closed) cone minus the surface area of the cone that is a cap on the top.

Answer 2

let me attempt it

Answer 3

Alright, :)

Answer 4

The surface area of a cone, excluding the base is
\[\pi \times r \times s\]
where r=radius and s=slant height

Answer 5

tell me what answer you get

Answer 6

I got 339.292 for the answer

Answer 7

is that correct?

Answer 8

yes exactly!