We are given the slant height(l) and circumference of the cone(c).

We need to find the curved surface area of the cone , since the bottom of the cone is open.

Circumference of the cone (c)=`2pir`

where r is the radius of the base of the cone.

So, `2pir=16`

`=>r=16/(2pi)`

`rArrr=8/pi` ...

## Unlock

This Answer NowStart your **48-hour free trial** to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Already a member? Log in here.

We are given the slant height(l) and circumference of the cone(c).

We need to find the curved surface area of the cone , since the bottom of the cone is open.

Circumference of the cone (c)=`2pir`

where r is the radius of the base of the cone.

So, `2pir=16`

`=>r=16/(2pi)`

`rArrr=8/pi` ----------(1)

Now the curved surface area of the cone (A) can be calculated as,

`A=pirl`

Plug the values of r from (1) and l in the above formula to get the area,

`A=pi*8/pi*14`

`A=8*14`

`A=112`

Hence **112 square inches of paper will be required for making the hat.**